{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SIMULATION OF SEIR INFECTIOUS DISEASE MODEL FOR COVID-19\n",
    "\n",
    "#### Author: Yiran Jing\n",
    "\n",
    "### Content:\n",
    "1. China Total\n",
    "2. Ex-Hubei\n",
    "3. Hubei"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import operator\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import pandas\n",
    "from math import *\n",
    "import datetime\n",
    "import matplotlib.dates as mdates\n",
    "from Dynamic_SEIR_model import *\n",
    "from helper_fun_epi_model import *\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_absolute_error\n",
    "from sklearn.metrics import mean_squared_error, r2_score\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%time\n",
    "## Update data from DXY\n",
    "! cd ../data_processing && python DXY_AreaData_query.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Some assumptions\n",
    "China_population = 1400000000\n",
    "Hubei_population = 58500000"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load data and clean data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Load data \n",
    "df = pd.read_csv(\"../data/DXYArea.csv\")\n",
    "\n",
    "\"\"\"\n",
    "Data Cleaning \n",
    "\"\"\"\n",
    "df['date'] = pd.to_datetime(df['date'])\n",
    "df = df[df['date'] > datetime.datetime(2019, 12, 7)]  # first day is 2019-12-08\n",
    "df = df[df['date'] != df['date'].max()] # remove todays' records (since it can be incompleted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Dataset preperation\n",
    "df['R'] = df['cured'] + df['dead']\n",
    "SIR_data = df[['date', 'Days', 'countryCode','province', 'city', 'net_confirmed', 'suspected', 'R', \n",
    "              ]].rename(columns={\"net_confirmed\": \"I\", \"suspected\": \"E\"})\n",
    "#SIR_data.tail(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>Days</th>\n",
       "      <th>countryCode</th>\n",
       "      <th>province</th>\n",
       "      <th>city</th>\n",
       "      <th>I</th>\n",
       "      <th>E</th>\n",
       "      <th>R</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6436</th>\n",
       "      <td>2020-02-12</td>\n",
       "      <td>66</td>\n",
       "      <td>CN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>51933</td>\n",
       "      <td>13435</td>\n",
       "      <td>6906</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6781</th>\n",
       "      <td>2020-02-13</td>\n",
       "      <td>67</td>\n",
       "      <td>CN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>55823</td>\n",
       "      <td>10109</td>\n",
       "      <td>8109</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           date  Days countryCode province city      I      E     R\n",
       "6436 2020-02-12    66          CN      NaN  NaN  51933  13435  6906\n",
       "6781 2020-02-13    67          CN      NaN  NaN  55823  10109  8109"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# China total\n",
    "\n",
    "# Use data before 2020-02-14 for train model\n",
    "China_df = SIR_data[SIR_data['date'] < datetime.datetime(2020, 2, 14)] \n",
    "China_total = get_China_total(China_df)\n",
    "China_total.tail(2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Estimate China Total"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "Dynamic_SEIR1 = Train_Dynamic_SEIR(epoch = 10000, data = China_total, \n",
    "                 population = 1400000000, rateAl = 1/7, rateIR=1/14, c = 1, b = -10, alpha = 0.08)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The loss in is 651028.5285864347\n",
      "The MAPE in the whole period is 0.07899450895866131\n"
     ]
    }
   ],
   "source": [
    "estimation_df = Dynamic_SEIR1.train() \n",
    "est_beta = Dynamic_SEIR1.rateSI\n",
    "est_alpha = Dynamic_SEIR1.alpha\n",
    "est_b = Dynamic_SEIR1.b\n",
    "est_c = Dynamic_SEIR1.c\n",
    "population = Dynamic_SEIR1.numIndividuals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Time</th>\n",
       "      <th>Estimated_Susceptible</th>\n",
       "      <th>Estimated_Exposed</th>\n",
       "      <th>Estimated_Infected</th>\n",
       "      <th>Estimated_Resistant</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>66.0</td>\n",
       "      <td>1.399928e+09</td>\n",
       "      <td>11531.162213</td>\n",
       "      <td>50142.785714</td>\n",
       "      <td>10615.500000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>67.0</td>\n",
       "      <td>1.399926e+09</td>\n",
       "      <td>8679.312385</td>\n",
       "      <td>53279.785714</td>\n",
       "      <td>12096.357143</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Time  Estimated_Susceptible  Estimated_Exposed  Estimated_Infected  \\\n",
       "66  66.0           1.399928e+09       11531.162213        50142.785714   \n",
       "67  67.0           1.399926e+09        8679.312385        53279.785714   \n",
       "\n",
       "    Estimated_Resistant  \n",
       "66         10615.500000  \n",
       "67         12096.357143  "
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "estimation_df.tail(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Dynamic_SEIR1.plot_fitted_beta_R0(China_total)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Dynamic_SEIR1.plot_fitted_result(China_total)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "## use the last observation as the initial point in the new SEIR model\n",
    "\n",
    "# I is the net confirmed cases (total confirmed case - heal - died)\n",
    "I0 = list(China_total['I'])[-1]\n",
    "R0 = list(China_total['R'])[-1]\n",
    "# suppose the total number of individuals within incubation period is 4 time of current suscepted cases\n",
    "E0 = list(China_total['E'])[-1] *4\n",
    "S0 = population - I0 - E0 - R0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum infected case:  58522\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "seir_new = dynamic_SEIR(eons=50, Susceptible=S0, Exposed = E0, \n",
    "                    Infected=I0, Resistant=R0, rateIR=1/14, \n",
    "                    rateAl = 1/7, alpha = est_alpha, c = est_c, b = est_b, past_days = China_total['Days'].max())\n",
    "result = seir_new.run(death_rate = 0.02) # assume death rate is 2%\n",
    "seir_new.plot_noSuscep('Dynamic SEIR for China total', 'population', 'Date', starting_point = China_total['date'].max())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The MAMPE is: \n",
      "0.006594084652937291\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "Calculate MAPE test score using SEIR model result\n",
    "\"\"\"\n",
    "test = get_China_total(SIR_data[SIR_data['date'] >= datetime.datetime(2020, 2, 14)])\n",
    "plot_test_data_with_MAPE(test, result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Estimate Ex-Hubei"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The loss in is 20854.03588310324\n",
      "The MAPE in the whole period is nan\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum infected case:  9017\n"
     ]
    },
    {
     "data": {
      "image/png": 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xZzifsfrOwzacoOAJ77w9TvW7h1V1vp/93C4iH3vTTsD5UWU/znvjaZzBGM0pRlQb1AbMGGNMM/BWGdqC0wAzvvovh8YYY0xLZ20yjDGmZfoJTlWDNyzAMMYY09rYkwxjjGlBRORenLrMt+BU9emvqjsCWypjjDGmYSzIMMaYFkREFKdnoHXA/3p7pjHGGGNaFQsyjDHGGGOMMY2q3t6lli9f3t7lcj2iqreqahjNPICRMcYYY46JulyuDR6P57yhQ4fuDHRhjDGm3iAjKChoQUhIyOndu3cPbteuHSIWYxhjjDEtjcfjkZycnH4//PBDdnp6eqCLY4w5RSxfvjxPVWP9rau3utTy5cvdQ4YMcblc1gmVMcYY05J5PB5WrFjBtm3bmDhxIu3btw90kYwxJznvwJJ+f9k4WvRgAYYxxhjTCrhcLkSE7Oxs1qxZE+jiGGNOcRZBGGOMMSeRDh06sH///kAXwxhzijslgow9e/YwZswYwsLC+PWvfx2wcixcuJBu3boFbP+mcUyfPp1rr7020MUwDTB79mxGjx4d6GKcVESELVu2BLoYJ73jOc8igsfjaaISGWPMsWnVQUZycjILFiw4arqZM2cSExNDUVERf/jDH457fzfccAP333//cW9/qkpOTqZjx46EhoYSFxfHDTfcQElJSaCLZY5D9WtZNd1xxx2BLpapg7/vSAu4TkzVZyAsLIyIiAjOPPNMXn755Ua5qR83bhyvvPJKI5TSGGMCr1UHGccqKyuL/v37W+9YAfTBBx9QUlLCqlWrWLlyJY8//nigi2SOU9W1rJpeeOGFQBfJmGb1wQcfUFxcTFZWFvfeey9PPvkkN910U6CLZYwxLcpJEWRU/TJ3zz33EBkZSUpKCh9//DHgPH14/fXXeeqppwgNDWXBggV4PB6eeOIJevbsSXR0NFdddVWN+qtfffUVZ555JhERESQmJjJ79mxmzpzJm2++6cvn0ksvBSA3N5crr7yS2NhYUlJS+OMf/+jL59ChQ9xwww1ERkbSv39/li1b1rwnpgWKi4vj/PPPZ9WqVQCUlZVxzz330L17d7p06cJtt93GoUOHgB+rlz311FN07tyZ+Ph43nvvPT766CN69+5NVFQUjz32mC/vsrIypk6dSkJCAgkJCUydOpWysjIA+vXrx7x583xpKysriY2NZcWKFQB89913vmt+2mmnsXDhQl/abdu2MXbsWMLCwjj33HPJy8tr6tPU6vz3f/83V155pe/1tGnTOOecc1BV33V87LHHiImJITk5mTfffNOXtrCwkOuuu47Y2FiSkpJ49NFHfb8Kb9myhbFjx9KpUydiYmL42c9+5ttuw4YNnHvuuURFRdGnTx/efvtt37r8/HwmTpxIeHg4w4YNIzMzsxnOQutT3/fX0qVLGTlyJBEREcTHx3PHHXdQXl4ewNK2PJ06dWLixIn8/e9/5/XXX+eHH36o9zutoKCASy65hNjYWCIjI7nkkkvYudMZ0uK+++7jyy+/5I477jjiCeGCBQtITU0lIiKC22+/HRtE1xjTKqhqnVNGRoa2ZElJSfrZZ5/pa6+9pm3atNGZM2dqZWWlvvjiixofH68ej0dVVa+//nq97777fNs999xzOnz4cM3OztbDhw/rLbfcopMmTVJV1e3bt2toaKjOnTtXy8vLNS8vT1euXOk3H7fbraeffrrOmDFDy8rKNDMzU1NSUvSTTz5RVdVp06bp6NGjNT8/X3fs2KFpaWnatWvX5jo9LUbVdVJVzc7O1gEDBuidd96pqqpTp07VSy+9VPPz87WoqEgvueQSvffee1VV9YsvvtCgoCCdMWOGlpeX68yZMzUmJkavvvpqLSoq0h9++EE7dOigW7duVVXVBx54QIcPH6579uzRvXv36siRI/X+++9XVdUZM2bo5MmTfWWaN2+e9u3bV1VVd+7cqVFRUfrhhx+q2+3WTz/9VKOionTv3r2qqjpixAi9++679fDhw7po0SINDQ3Va665pnlOXgtT/VpWd/DgQU1NTdXXXntNFy9erNHR0Zqdna2qP17HqnO4cOFCDQ4O1g0bNqiq6pQpU3TixIlaVFSk27Zt09TUVH3llVdUVXXSpEn66KOPqtvt1kOHDumXX36pqqolJSXarVs3nTVrllZUVOiKFSs0Ojpa165dq6qqP/vZz/SnP/2plpSU6Jo1azQhIUFHjRrVHKeoRfF3vV577TUdNWrUUb+/MjIy9Ntvv9WKigrdtm2b9u3bV5999llfPoBu3ry5WY+nJajrM5CYmKgvvvhivd9peXl5+s477+jBgwe1qKhIf/KTn+hll13my2Ps2LH6l7/8pUa+gF588cVaUFCgWVlZGhMTox9//HGd5cvIyNAXX3yx3jTGGNNYgAytI46odzC+I0ydCt5foJvM4MHw3HMN3iwpKYmbb74ZgOuvv55f/vKX7Nmzh7i4uCPSvvzyy7zwwgu+RtjTp0+ne/fuzJkzh7lz5zJhwgSuvvpqAKKjo4mOjva7z2XLlrFv3z4efPBBAHr06MHNN9/MW2+9xfnnn8/bb7/Niy++SFRUFFFRUdx55508/PDDDT624/G1+2vyNb9J9xEt0YwKGnVMaS+//HJEhJKSEs4++2xmzJiBqjJz5ky+//57oqKiAPjtb3/L5MmTfdWp2rZty3333UdQUBCTJk3illtu4a677iIsLIy0tDT69+/P6tWrSUlJ4c033+T555+nc+fOADz00EPceuutPPLII0yePJkhQ4ZQWlpKcHAwc+fO9V3jv/71r1x00UVcdNFFAJx77rmkp6fz0UcfMX78eJYtW8aCBQto3749Y8aM8T3FahbLp0JBE3/mIgfD0GP/zF1++eW0afPjV8fTTz/NzTffzJw5c7jwwgsJCwvj+eefP6KTg0ceeYT27dszduxYLr74Yt5++21++9vf8tZbb7Fq1SrCwsJ8nTPMmTOHm266ibZt25KVlUVubi7dunXztSWYN28eycnJ/PznPwdgyJAhXHnllfzjH//g/vvv55///Cdr1qwhJCSEAQMGcP3117N48eJGOFn1m/rJVFbtbtrrNThuMM9dcPzXq7y8nNNPP/2o319Dhw71bZOcnMytt97KokWLmDp1auMdzDH45JNP2L17d5PuIy4ujgsuuOCE8khISGD//v31fqdFR0fXeOJ33333MX78+KPmfe+99xIREUFERATjx49n1apVJ1xeY4xpag0LMlqw6sFEcHAwQJ2Ni7OysrjiiiuoPgZIUFAQe/bsITs7m549ex7TPqtufiIiInzL3G43Z511FuBURUhMTPStS0pKOvYDOsm89957TJgwgUWLFjF58mTy8vIoLy+ntLS0xs2MquJ2u32vo6OjCQoKAqBjx44AdOnSxbe+Y8eOvuucm5tb4xwnJSWRm5sLQK9evejXrx8ffPABl156Kf/+979ZuXIl4FzHf/zjH3zwwQe+bSsqKhg/fjy5ublERkYSEhJSI9/s7OxGOzetTdW1rG348OH06NGDvXv3ctVVV9VY5+8c5ubmkpeXR0VFxRHXLScnB4CnnnqKBx54gGHDhhEZGcmvf/1rbrzxRrKysliyZEmNz15lZSVTpkxh3759VFZW2mfPq/b1mj17Nq+88spRv782bdrEr371KzIyMigtLaWysrLGZ9XUlJOTQ2VlZb3faaWlpdx999188sknFBQUAFBcXIzb7fZ9z/lT+++bdZxhjGkNGhZkHMcThpYoMTGRWbNmMWrUkb/CJyYmsnTpUr/b1W44npiYSEpKCps3b/abPj4+nuzsbNLS0gDYsWPHCZb82B3rE4bmNnbsWG644Qbuuece3n33XTp27MjatWvp2rXrCeedkJBAVlZWjfOdkJDgW3/11Vfzt7/9DY/HQ//+/enVqxfgXMcpU6bwl7/85Yg8s7KyKCgo4ODBg76b5B07djRfJwINeMIQaH/6058oKysjISGBp556it/85je+df7O4YABA4iJifE9rejfv79vXdX7IS4uznddvvrqKyZMmMCYMWNITExk7NixfPbZZ0eUw+1206ZNG7Kzs+nbt68vz+bQkCcMgXa076///u//ZsiQIfztb38jLCyM5557jnfeeaeZS0mr+MV+2bJl5OTkcPnll/Pkk0/W+Z32hz/8gY0bN7JkyRLi4uJYtWoVQ4YM8bWxsM5JjDEnk5Oi4XdD3Xbbbdx3331kZWUBsG/fPt5//30ArrnmGhYsWMDbb79NZWUl+fn5vkbKXbp0YevWrb58hg0bRlhYGE8++SSHDh3C7Xbzww8/+Bp4X3XVVTz++OMUFBSwc+dOnn/++WY+0pZp6tSpfPbZZ6xZs4abb76Zu+++m7179wLOr4Hz588/rnyvvvpqHn30Ufbt20deXh4PP/xwjfEsJk2axKeffspLL73E5MmTfcuvvfZaPvjgA+bPn4/b7ebw4cMsXLiQnTt3kpSURHp6Og899BDl5eV89dVXNZ54GMemTZu4//77+etf/8qcOXN46qmnfJ+bKlXn8Msvv2TevHn89Kc/JSgoiKuuuor77rvP11vPM88847tu//jHP3wNYyMjIxERXC4Xl1xyCZs2bWLOnDlUVFRQUVHBsmXLWL9+PUFBQfzXf/0X06dPp7S0lHXr1vH66683+zlp6Y72/VVcXEx4eDihoaFs2LCBl156KcAlbnmKioqYN28ekyZN4tprr+W0006r9zutuLiYjh07EhERwf79+5kxY0aN/Gr/jTHGmNbslAwy7rrrLiZOnMh5551HWFgYI0aMYMmSJQB0796djz76iD/84Q9ERUUxePBgVq9eDcBNN93EunXriIiI4PLLLycoKIh58+axatUqUlJSiImJ4Re/+AWFhYWAc1OVlJRESkoK5513HlOmTAnYMbcksbGxXHfddTz88MM8+eST9OrVixEjRhAeHs6ECRPYuHHjceV7//33k56ezqBBgxg4cCCnn356jXFN4uPjGTlyJN98802NXooSExN5//33eeyxx4iNjSUxMZGnn37a18PR3LlzWbJkCVFRUcyYMYPrrrvuxE5AK3fppZfWGCfjiiuu4Nprr2XatGmcdtpppKam8thjjzFlyhRf715xcXFERkaSkJDANddcw8svv+x7yvD8888TEhJCjx49GD16NJMnT+bGG28EnF+Ihw8fTmhoKBMnTuT//u//6NGjB2FhYXz66ae89dZbJCQkEBcXx7Rp03z7e+GFFygpKfGNy1LVdsP86GjfX7///e+ZO3cuYWFh3HzzzTU+M6e6Sy+9lLCwMBITE/nd737Hr371K1577TWAer/Tpk6dyqFDh4iJiWHEiBFHPKW56667eOedd4iMjOTOO+9s9uMyxrReqsphPUy+5pPtyWajZyO7tWnbsx2NaD1d4S1fvlytDq4x5kQsXLiQa6+91vdEwhjTdJYvX87SpUtJSUlpFVXNjDH1U1XKKaeUUkq0hIMcpJRSSrWUUko5qN7XlOKh5qCgaZLG6KCmHXxVRJararq/dSdNw29jjDHGGGNaC1XlMIcpoYSDepCDHKRES5yAghJKtZSDHKSCiiO2bUc7QgghWIKJJ55gggmREIIJJliCndeE+Nlr87EgwxhjjDHGmEZWruUc5CDFWuwLIHz/vE8l3LhrbOPC5QsQoiSKRBIJkRBCCPHNgwmmjbT8W/iWX0JjTKs2btw4qypljDHmpKKqlFFGCSUUazHFFFOiJTXmZZTV2EYQggkmlFBiJIZkkgmVUEIJ9QUQHemIS06OJtMWZBhjjDHGGFNLhVZQTDFFWlRjXhVU1K7G1IY2hBFGmITRmc6ESRihhBIqoXifRZw0AcSxOFqQoR6PR6oPWmeMMcaYlqe+jlyMMUdSVUoppZBCirToiGDiEIdqpG9DG8IJJ0zCSCDBF0RUzTvQIWDj3ZSUl7CreBe7Snb55gM7D+ScHucEpDxwlCDD5XLtLS0t7RIaGtpc5THGGGPMcSgvL7dAw5haVJUSSijSIl8w4QsqKKKSSl9aQXxBQxJJhEmYL6gIJzwgQcTB8oPkFOeQW5xLTlEOOcU5PwYT1QKKkvKSI7a9/YzbW26Q4fF47t68efOs1NTUDsHBwdgTDWOMMabl8ZWThicAACAASURBVHg8bN++nYKCAjweD+3atQt0kYxpNlW9NBVSyAE9QKEWcgBnXkRRjcbVLlyEE04n6URXuhIu4XSiE+ESTiihBElQs5U5/1A+2YXZZBdls7NopxNIFOf4gomcohwKywqP2Da4bTAJYQnEh8YzJH4IF4VeRHxoPPFh8cSHxjvrwuKJ7BDZLMdSl3rHyQD4+uuvrw8KCnqxTZs2wYF6BGSMMcaY+h0+fJjMzEzy8vK47LLL6NmzZ6CLZEyjcqubIooo0AJfEHFAD1BIYY1G1tUDiU508s3DJbzZ2kUUHi5kR+EOdhTu8AUR2UXZNYKKw5WHa2wTJEHEhcbRNbwrXcO6khCWQNewrjVfh3clrF1YwKpl1VbfOBlHDTIAJk6cGAfcDcQC9izWmCZy8ODBGy+77LJAF8MY04qNGzeOQYMGBboYxhy3ci3nAAc4oAd8AUVVMKHVbkNDCCFCInyBRAQRdJJOhBHWpIGERz3sKdlDVmEWWQeyyCrMYkfhDt/rHYU7jngCESRBJIQlkNgpkcTwRLqFdyMxPJHETs7/u4V3o0tIF4JczfMkpbGccJABMHHiRAGCAaszZUwT2bVrV9GiRYsCXQxjTCvVvn17goJa102KOXVVaAUFFLBf91OgBezHmR/koC9N1VOJSIkkgghnLhFEEEFbadsk5VJV8krz2HZgG9sKtvnm2wu3s61gG1mFWZS7y2tsE9EhgqROSSRFJNE9vLsz79Sd7p26kxieSFxoXKsLII5FowQZxpiml56erhkZGYEuhjHGGNNo3OrmAAfYr/udgMIbWBRT7EsTRBCRRPqCiEiceTjhTdJOoqyyjO0HtpNZkEnm/kwyCzLZWrDVF1AcrDhYI310x2hSIlNIiXCmpIikH4OKTt0Jbx/e6GVsDeoLMmycDGOMMcYYc8KquoTN13zyyWe/7idf8znAAV81JxcuOtGJztKZvtKXSCKJkqgmqeJUUl7Clv1b2LJ/iy+QyCzIZMv+LWQXZteoehXcNpgekT3oEdmDc1LOcYIJb1CRHJFMWPuwRi3bqcCCDGOMMcYY0yBudVNAgRNQVAsqDvNjY+ZQQomWaJJJJkqiiJIoOtGpUZ9MlFWWkVmQyeb8zWzK38Tm/T/Oc4tza6SNDY6lZ1RPzup+Fj0je9Izqqdv3iWkS4tpTH2ysCDDGGOMMcbUqUIryCefPM3zTQUU4MEDOIPURRFFsiQTLdFESRTRRNNe2jfK/lWV3SW72ZC34ccpfwOb8zeTVZiFRz2+tLHBsaRGp3Jez/NIjUp1puhUekT2OGWrNAWKBRnGGGOMMQaAMi1zAgl+DCgOcMC3vgMdiJEYEkkkRmKIlmjCCW+Uqk4V7goyCzJrBBPr89azIW8DRWVFvnQhbUPoE9OHEd1GMGXQFHpH9yY12gkoIjsGdmwI8yMLMowxxhhjTkFVTyj26l726T726T4K+bHr1arqTj2lJzHEECMxhBBywtWKKtwVbNm/hbX71rJ271rW5a1j7d61bMrfRIWnwpeua1hX+sb0ZcqgKfSN6eubuoZ1tapNrYAFGcYYY4wxJzm3utnPfl8wsVf3UkCBr/FzCCHESiy9pTexxBIjMXSUjie0T496yNyfyZq9a1i7d60TVOxby8a8jb5gQhBSIlNIi03j0t6X0i+2H/1i+tEnpo9Vb2rlLMgwxhhjjDnJlGgJe3Uve3QPe3QPeeThxg1Ae9oTK7Ekk0ysxBIrsYRIyAntL780nzV71/D9nu/5fs/3rNm7hh/2/kBpRakvTUpECmmd07g49WLSYtNI65xG35i+BLcNPqF9m5bJggxjjDHGmFasUivJI69GUFE1oF0QQcQSS5qkESuxdJbOhBF23NWN3B43G/M3smr3KlbtXuULLKr35BQTHMOgLoO45fRbGNRlEAO7DKRfTD9C2p1YIGNaFwsyjDHGGGNakVItZbfuZrfu9j2lqOrpKYww4iWeztKZLtKFaKKPu8vYQxWHWLN3DSt3rWTV7lWs3L2S7/d8z6HKQwC0C2pH/9j+TOgxgYGdBzKoyyAGdRlk3cEawIIMY4wxxpgWS1UppJDduptduovdupsinJ6W2tCGWGIZJIPoIl3oLJ0JluOrelRcVszK3SvJyM1gxa4VrNq9ig15G3CrU8WqU/tODI4bzK1Db2VI/BAGxw2mX0w/2ga1bbRjNScXCzKMMcYYY1oIt7rJI8/3pGK37vYNcNeBDsRJHP2lP3ESRwwxx/WUorSilFW7V5GRm+GbNuRt8DUCTwhLYEjcEK7oewVD4ocwJG4IyRHJ9nTCNIgFGcYYY4wxAVIVVORqru9JRQVOz0vhhNNduhMv8cRJHJ3o1OAb/XJ3Od/v+Z6lOUt9AcXafWt9A9jFh8aTnpDOpAGTSE9IZ2j8ULqEdmn04zSnHgsyjDHGGGOaiVvd7GMfu3QXuZrLbt1NJZUARBJJqqSSIAnESVyDe3xSVbIKs1iycwlLcpxpee5yytxlAHQO6Ux6QjpX9L3CCSgShpIQltDox2gMWJBhTmEiMgu4BNirqgO8y6YDNwP7vMl+q6ofedf9BrgJcAN3qup87/ILgP8DgoBXVPUJ7/IU4C0gGlgOTFHV8uY5OmOMMS2BqpJHHjmaQ47mHBFU9JE+xEs88RLf4PYUxWXFLM1Z6gsoluxcwp6DewDo0KYDQ+OHcsewOxjedTjDuw0nMTzRqjyZZmNBhjmVzQZeAN6otfxZVf199QUi0h+YBKQBCcACEentXf0n4FxgJ7BMRP6tquuAJ715vSUiL+MEKC811cEYY4wJPFWliCJfUJGjOZThPEmoCioSJIF4iW/QYHeqyo7CHXyT/Q1fZ3/N19lf8/2e733VnvpE9+H8XuczousIhncbzsDOA61RtgkoCzLMKUtVF4tI8jEmvwx4S1XLgG0isgUY5l23RVW3AojIW8BlIrIeOBuY7E3zOjAdCzKMMeakc0gP+QKKnbqTEkoAZxTtJEmim3QjQRIaVP2p0lPJqt2rfgwqdnxNTnGOk2/bEEZ0G8H9Z93PmYlnMqzrMCI7RjbJsRlzvCzIMOZId4jIdUAG8GtVLQC6At9VS7PTuwwgu9by4ThVpA6oaqWf9DWIyC3ALQDdu3dvrGMwxhjTRNzqZg97yPZkk63Z5JMPQDvakSAJDJbBdJWuDWqofajiEEtylrBo+yIW71jMdzu/842WnRieyFlJZzEqcRRnJp7JoC6DaOOyWzjTstk71JiaXgIeAdQ7/wNwY1PuUFVnAjMB0tPTtSn3ZYwx5vgUazHZ6gQVOZpDBRW4cNGFLpzhOoNu0o0YYnCJ65jyKykv4Zvsb3xBxdKcpZS7yxGE0+JO48bBNzKq+yhGJY4isVNiEx+dMY3PggxjqlHVPVX/F5G/APO8L3OA6t/y3bzLqGN5PhAhIm28TzOqpzfGGNPCVWoluZpLtmazU3dygAMAhBJKL+lFoiTSVbrSTtodU35FZUUszlrM4qzFLMpaxPLc5bjVTZAEMTRhKHcNv4sxSWMY3X00ER0imvLQjGkWFmQYU42IxKvqLu/LK4AfvP//NzBXRJ7BafidCiwFBEj19iSVg9M4fLKqqoh8AfwEp4ep64H3m+9IjDHGNFSJlrBDd5ClWeRqLpVUEkQQ8RJPP+lHoiQSQcQxVYE6VHGIb7K/4T/b/sPn2z4nIzcDt7ppF9SOYV2Hce/oexmTNIYzE88ktF1oMxydMc3LggxzyhKRvwHjgBgR2Qk8BIwTkcE41aW2A7cCqOpaEXkbWAdUArerqtubzx3AfJwubGep6lrvLqYBb4nIo8BK4NVmOjRjjDHHQFXZxz6yPFlkaZavbUUYYfSVviRKIgmSQBs5+u1ShbuCjNwMPt/2Of/Z9h++yf6GMncZQRLE8G7D+c3o33B2ytmM6DaCjm2PvVcpY1orUbUq4Ma0FOnp6ZqRkRHoYhhjzEmrXMvJ0RyyNIsduoNDHEIQutCFJFcSSZJ0TE8rVJX1eev5NPNTFmxdwKKsRZSUO71KDY4bzDkp53B2ytmc1f0swtqHNcehGdPsRGS5qqb7W2dPMowxxhhzUivVUrI0i226jRzNwYOHdrQjURJJkiQSJZEO0uGo+eSX5vP5ts+Zv2U+n279lJ1FOwHoHd2bKYOmcHbK2YxLHkdMcExTH5IxLZ4FGcYYY4w56RRpEdt0G9s929nNbsCpBpUmaSRLMl2kC0ESVG8eFe4Kvtv5HZ9mfsr8zPlk5GagKBEdIpjQYwLn9TiP83qeR1JEUtMfkDGtjAUZxhhjjGn1VJV88tnu2c423cZ+9gMQTTRDXUNJkRSiiDpqNaicohw+2vwRH235iM+3fk5xebGvXcX0cdM5r+d5pCek2zgVxhyFfUKMMcYY0yqpKnvZy1bPVrbpNoopBiCOOEa6RpIsyYRLeL15uD1uluQs4cNNH/Lh5g9ZvWc1AN07defqAVdzfq/zOTvlbOtW1pgGsiDDGGOMMa1G9cBiq26lhBJcuOgm3RgiQ0iWZDpK/b035ZfmMz9zPh9u/pBPtnzC/kP7CZIgRnUfxZMTnuSi1ItIi0075tG6jTFHsiDDGGOMMS1afYHFGXIGSZJEe2lfbx4b8jbw/ob3+WDTB3y781s86iEmOIaLUy/m4tSLOa/neUR2jGymIzLm5GdBhjHGGGNanKoxLDI9mccVWFRVg3p/w/u8v/F9NuZvBGBI3BDuO+s+Lk69mPSEdIJc9Tf+NsYcHwsyjDHGGNNiHNADbPZsZotuoYgiX2CRLukkS3K9gcWhikMs2LqA9zc6Tyz2HtxLG1cbxieP53+G/Q8T+0wksVNisx2LMacyCzKMMcYYE1AH9SBbdAtbPFvIIw9BSJAEhsgQUiSl3sDiwOEDfLDxA/614V/Mz5xPaUUp4e3DubDXhVzW5zIuTL3QGm0bEwAWZBhjjDGm2ZVpGVt1K1t0C7maC0AssYx0jaSn9CREQurcNr80n/c3vs87695hwdYFVHgq6BrWlRtOu4HL+l7GuORxtAtq11yHYozxw4IMY4wxxjQLt7rJ0iw262Z26A48eOhEJ4a6htJLehEhdT9x2FOyh39t+Bf/XP9Pvtj2BW51kxKRwtQRU7my35Wc0fUMXOJqxqMxxtTHggxjjDHGNBlVJY88Nno2kqmZHOYwwQSTJmmkulKJIabOrmJzi3N5d/27vLPuHRZnLUZRUqNSmTZqGlf2v5IhcUOsm1ljWigLMowxxhjT6A7qQTbrZjZ5NlFAAUEEkSzJ9JbedJNudT512HdwH/9c/0/e+uEtX2CRFpvGg2Mf5Mp+VzKg8wALLIxpBSzIMMYYY0yjqNRKtut2NukmdupOFKULXTjLdRY9pWedDbgLDxfy3ob3eGvtW3yW+RluddM3pi/Tx03np/1/Sr/Yfs18JMaYE2VBhjHGGGNOyD7dxwbPBrboFsopJ5RQBstgert619nOorSilA83fcjffvgbH23+iDJ3GckRyfzvmf/LpAGTGNRlkD2xMKYVsyDDGGOMMQ1WpmVs0S1s8GwgjzyCCKKH9KC39KardPUbIFR6Kvks8zPeXPMm7298n5LyEuJC47h16K1cPfBqhncdboGFMScJCzKMMcYYc0xUld3sZoNnA1t1K5VUEk00o12j6SW9/FaHUlVW7V7FnO/nMHfNXPYc3ENkh0iuHnA1kwZMYmzSWBt125iTkAUZxhhjjKnXIT3EJt3EBs8GDnCAtrQlVVLp5+pXZ+9QOUU5vLnmTeZ8P4cf9v5AW1dbLu59MdcNuo6LUi+ifZu6B9gzxrR+FmQYY4wx5giqyi7dxVpdy3bdjgcPXejCWNdYekpP2krbI7YpKS/hX+v/xRvfv8HnWz9HUUZ0G8GLF73IVWlXER0cHYAjMcYEggUZxhhjjPEp0zI262bWetZygAO0pz1pkkZfV1+iJOqI9KrKlzu+5NWVr/LOuncorSglJSKF+8fcz5RBU0iNTg3AURhjAs2CDGOMMcaQr/ms9axls26mkko605lxrnH0lJ60kSNvF3KKcnhj9RvMWjWLLfu3ENYujMkDJnP94OsZlTjKGnAbc4qzIMMYY4w5RbnVzVbdylrPWvawhyCC6CW9SHOlESuxR6Qvd5fz4aYPeXXlq3y85WM86mFM0hgeGPMAV/a7kpB2IQE4CmNMS2RBhjHGGHOKKdZi1nnWsUE3cJjDhBPOSNdIektvOkiHI9Kv27eOWStn8cbqN9hXuo/40HimjZrGzwf/3KpDGWP8siDDGGOMOQVUdT+7xrOG7bodgCRJIk3S/I5rcajiEG+vfZs/L/8z3+78ljauNkzsM5EbB9/I+b3Op43LbiGMMXWzbwhjjDHmJOZWN5mayRrPGvLIoz3tGSSDSHOlESZhR6Rfv289f17+Z15f/ToHDh+gT3Qffn/u75ly2hQ6h3QOwBEYY1ojCzKMMcaYk1CplrJO17HOs45DHCKCCM5ynUWqpB7R/WxZZRnvrn+Xl5e/zOKsxbR1teXK/ldy29DbGJM0xhpxG2MazIIMY4wx5iSSp3ms8axhi27Bg4dESWSgDKSbdDsiWNiyfwszl8/ktVWvkVeaR4/IHjw54UluGHyDPbUwxpwQCzKMMcaYVk5V2aE7WO1ZzS520YY29JN+DHANIEIiaqR1e9x8sOkDXlz2Ip9t/YwgCWJin4ncln4bE3pMwCWuAB2FMeZkYkGGMcYY00q51c1m3cxqz2oOcIBQQhnhGkFf6Ut7aV8j7f5D+3l1xav8admfyCrMolt4Nx4e9zA3nX4TCWEJAToCY8zJyoIMY4wxppUp0zLW63rWeNZQSilRRDHeNZ6e0pMgCaqR9vs93/P8kud5c82bHKo8xNiksfzhvD9wWd/LrIcoY0yTsW8XY4wxppUo0RLWeNawXtdTQQVdpSvjZNwR7S0qPZW8t+E9nl/6PIuzFtOxTUeuGXgN/zP8fxjUZVAAj8AYc6qwIMMYY4xp4fI1n9We1WRqJorSU3pymus0YiSmRrq80jz+svwvvJTxEtlF2SRHJPPUhKe46fSbiOoYFaDSG2NORRZkGGOMMS3Ubt3NSs9KdugO2tCGNEljoGvgEeNbbMjbwLPfPssb37/B4crDnJNyDs9f+DyX9L6EIFdQHbkbY0zTsSDDGGOMaUFUlRzNYaWuJFdz6UAHznCdQZqk1WjMraos3L6QZ757hnmb5tE+qD1TBk1h6oippHVOC+ARGGOMBRnGGGNMi6CqZGkWKz0r2ctegglmpGsk/aRfjcHzKtwVvL32bZ757hlW7FpBTHAMD419iF+e8Usb28IY02JYkGFOWSIyC7gE2KuqA7zLngYuBcqBTODnqnpARJKB9cBG7+bfqept3m2GArOBjsBHwF2qqiISBfwdSAa2A1epakFzHJsxpvXwqIetupWVnpXsZz9hhHGW6yz6SJ8aPUUdOHyAmctn8sclfySnOIe+MX2ZeclMrh10LR3bdgzgERhjzJEsyDCnstnAC8Ab1ZZ9BvxGVStF5EngN8A077pMVR3sJ5+XgJuBJThBxgXAx8C9wOeq+oSI3Ot9Pc3P9saYU5Bb3WzSTazyrKKIIiKJZLxrPL2kV40B8XYU7uCZb5/h1ZWvUlJewvjk8fz5kj9zYeqFNnCeMabFsiDDnLJUdbH3CUX1ZZ9We/kd8JP68hCReCBcVb/zvn4DuBwnyLgMGOdN+jqwEAsyjDnludXNRt3ISs9KSighhhjOc51HsiTX6IZ27d61PPXNU8xdMxeASQMm8asRv2JI/JDAFNwYYxrAggxj6nYjTnWnKikishIoAu5X1S+BrsDOaml2epcBdFHVXd7/7wa6NHF5jTEtWNWTixWeFZRQQmc6c5brLBIlsUZw8d3O73jiqyd4f+P7BLcN5vYzbudXI39F907dA1h6Y4xpGAsyjPFDRO4DKoE3vYt2Ad1VNd/bBuM9ETnm7lu8bTS0jn3dAtwC0L273UQYc7KpCi5WelZSTLHf4EJVmZ85nye+eoJFWYuI7BDJQ2Mf4o5hdxATHHOUPRhjTMtjQYYxtYjIDTgNws9RVQVQ1TKgzPv/5SKSCfQGcoBu1Tbv5l0GsEdE4lV1l7da1V5/+1PVmcBMgPT0dL+BiDGm9XGrm826mRWeFRRTTCyxjHaNrhFcuD1u3ln3Dk98/QSrdq+ia1hXnjnvGW4eejOh7UIDfATGGHP8LMgwphoRuQD4f8BYVS2ttjwW2K+qbhHpAaQCW1V1v4gUicgInIbf1wHPezf7N3A98IR3/n4zHooxJkD8BRejXKPoLt19wUW5u5w5q+fw+FePk1mQSZ/oPsyaOItrBl1Du6B2AT4CY4w5cRZkmFOWiPwNp2F2jIjsBB7C6U2qPfCZ92agqqvaMcDDIlIBeIDbVHW/N6tf8mMXth97J3CCi7dF5CYgC7iqGQ7LGBMgqsoW3UKGJ4Miiogh5ojgoqyyjNmrZvP4V4+TVZhFekI67577Lpf1vcx6ijLGnFTEWxvEGNMCpKena0ZGRqCLYYxpgKpB9JZ5lrGf/UQRxRmuM0iSJF9wcbjyMK+seIUnv36SnUU7GdFtBA+NfYjze55fo9G3Mca0JiKyXFXT/a2zJxnGGGPMccr15LLUs5Q97CGccM5xnUNP6ekLHEorSpm5fCZPff0Uu0p2Mbr7aF677DXOSTnHggtjzEnNggxjjDGmgfbpPpZ6lrJTdxJCCGNcY+gtvX0jdB8sP8hLGS/x9DdPs/fgXsYnj2fulXMZmzTWggtjzCnBggxjjDHmGBVoAcs8y9im2+hAB0a6RtJf+tNGnD+nB8sP8qdlf+Lpb54mrzSPc3ucywNjHuCspLMCXHJjjGleFmQYY4wxR1GsxWR4Mtism2lDG4a6hjJIBtFOnJ6gDlce5uWMl3n8q8fZe3AvF/S6gAfHPMjIxJEBLrkxxgSGBRnGGGNMHcq0jJWelfygPwAwUAYy2DWYjtIRcLqifXXFq/zuy9+RU5zD2Sln88j4Rzgz8cxAFtsYYwLOggxjjDGmFre6WatrWeFZQRll9JbepLvSCZMwACo9lcxZPYeHFz/M9gPbGZU4ijlXzGF8yvgAl9wYY1oGCzKMMcYYL1UlUzNZ5llGEUV0la6McI0gRmIAZ4Tuv6/9O9MXTmfz/s2kJ6Tz0sUvWVe0xhhTiwUZxhhjDJCruXzn/o597COKKC5yXUSiKxFwgo9/bfgXD37xIGv3rWVg54G897P3mNhnogUXxhjjhwUZxhhjTmkFWsASzxKyNIsQQhjnGkeqpPpG4P5i2xfc+/m9LM1ZSp/oPrx15Vv8NO2nNkK3McbUw4IMY4wxp6RDeogMTwbrdT1tacsw1zAGykBfd7Srd6/m3s/v5ZMtn9AtvBuzJs5iymlTaOOyP53GGHM09k1pjDHmlFLVqHu5ZzkVVJAmaZzuOt3XY9S2gm088MUDzF0zl4gOETx97tPcfsbtdGzbMcAlN8aY1sOCDGOMMacEVSVLs/jO8x2FFJIoiYx0jSRSIgHYd3Afjy5+lJcyXiLIFcS0UdOYNnoaER0iAlxyY4xpfSzIMMYYc9LL13y+9XxLjuYQQQQXui6ku6s7ACXlJTz77bM8/c3THKw4yI2Db2T6uOl0De8a4FIbY0zrZUGGMcaYk1b1dhftaMco1yj6ST+CJIhKTyWvrHiF6Quns+fgHq7oewW/O/t39IvtF+hiG2NMq2dBhjHGmJOOv3YXQ11D6SAdUFU+3vwx93x2D+v2reOs7mfx3qT3GNFtRKCLbYwxJw0LMowxxpxUsj3ZfO35mkIK6SbdONN1pq/dxZo9a/j1p7/ms62f0SuqF+9e9S6X973cxrowxphGZkGGMcaYk0KxFvON5xu263bCCa/R7mJ3yW4e+M8DzFo1i07tO/Hs+c/yyzN+SbugdgEutTHGnJwsyDDGGNOqVWolq3U1Kz0rEYRhrmEMkkEESRClFaU88+0zPPHVE5S5y7hz2J08MPYBojpGBbrYxhhzUrMgwxhjTKtU1SXtt55vKaKIHtKDEa4RhEkYHvUwZ/Ucfvuf37KzaCdX9L2CJyc8SWp0aqCLbYwxpwQLMowxxrQ6hVrIN55v2KE7iCCCi10X083VDYBvs7/lzk/uJCM3g6HxQ3nzv95kTNKYAJfYGGNOLRZkGGOMaTUqtIKVnpWs1tUEEcQI1wgGyACCJIjc4lymLZjGX7//KwlhCbx++etcO+haXOIKdLGNMeaUY0GGMcaYVmG7Zztfe76mhBJ6SS9GuEYQIiGUVZbx9HdP8+jiR6nwVPCb0b/ht2f9ltB2oYEusjHGnLIsyDDGGNOiFWsxX3u+JkuziCSSS4MuJUESUFU+2PgBd8+/m8yCTCb2mcgz5z1Dz6iegS6yMcac8izIMMYY0yK51c0P+gMZngwAhruGM1AGEiRBbMjbwNRPpjI/cz59Y/oy/9r5nNfzvACX2BhjTBULMowxxrQ4u3U3X7q/ZD/76S7dGe0aTZiEUXi4kIcXPcwfl/6R4LbBPHv+s9x+xu20Dfr/7N15fFTV/f/x15kJCWvYRXaQTVZRIuACiKCyCYKoaF1a/WJtS136bb/t159abWtr7bd1q3XfAK0ie9j3HWSTgogIIjvInoRAtpnz++PMkElkiZDk5ibv5+NxHvfOmTszn4jivHPuOaec1yWLiEgMhQwRESkxMm0mn4U/Y5PdRCUqcWPgRpqYJgCM/M9IfjP7NxxMP8gDlz/As72e5aJKF3lZroiInIFChoiIeM5ayxa7heXh5WSSSQfTgU6BTsSbeL448AU/n/pzFu9cTNcGXZl21zQ61evkdckiInIWChkiIuKpY/YYi8OL2Wv3chEX0S3YjVqmFmmZafzvgv/lpc9eolr5arx989v85PKfaElaEREfUMgQERFPhGyI9XY9a8JrCBLk2sC1tDatMRjGbBzDYzMfY1/am/Sq7gAAIABJREFUPoZfMZw/9/ozNSvW9LpkEREpIIUMEREpdgftQRaGFnKYwzQ1TbkmcA2VTCU2H9rMiOkjmLNtDpdffDnjbx9PlwZdvC5XRER+IIUMEREpNtk2m9Xh1WywG6hABW4M3EjTQFNOZJ/gicVP8PzS56lYriL/7PtPHkp6iGAg6HXJIiJyHhQyRESkWOwO72ZReBFppNHatKZLoAsJJoEpX09hxLQR7EjZwT0d7uFvN/yNOpXreF2uiIhcAIUMEREpUhk2g+Xh5Xxtv6YqVU/t2L03bS+PzHiEsV+OpW3ttiz88UK6N+7udbkiIlIIFDJERKRIWGv5xn7DsvAyMsigo+lIp0AnAgR4bdVr/G7u78jMyeTP1/+Z/776v4kPxntdsoiIFBKFDBERKXTpNp3F4cXssDuoRS36BftRy9TiiwNf8GDygyzfvZxeTXvx+oDXaV6judfliohIIVPIEBGRQhPdVG9peCkhQnQNdKW9aU9mTiaPL3qcvy37G9XKV2PkLSO5u8PdGGO8LllERIqAdjSSMssY864x5oAx5ouYvhrGmNnGmC2RY/VIvzHGvGyM2WqMWW+MuSLmNfdFrt9ijLkvpr+TMWZD5DUvG32bklIu3aYzIzyD+eH5VKc6Q4NDuSxwGfO+nUf719rzlyV/4e4Od7PpF5u457J7FDBEREoxhQwpy94H+uTr+x0w11rbApgbeQzQF2gRaQ8Cr4ELJcDvgS5AZ+D30WASuWZ4zOvyf5ZIqWCtZXN4M2NCY9hj93BV4CoGBgeSfSKbeybcww2jbiBgAsy7dx7vDXqPWhVreV2yiIgUMd0uJWWWtXaRMaZJvu5BwHWR8w+ABcBvI/0jrbUWWGGMqWaMqRu5dra19giAMWY20McYswBItNauiPSPBG4BphfdTyRS/NJtOovCi9hpd3IxF3Nd8DoSSeSjDR/xyIxHSM1M5cnuT/J4t8cpH1fe63JFRKSYKGSI5FXHWrsvcr4fiC7WXx/YFXPd7kjf2fp3n6ZfpFSw1vK1/Zpl4WWECXN14GramrbsSd3Dj6b+iKlbptK1QVfeGfgObWq38bpcEREpZgoZImdgrbXGGFvUn2OMeRB3CxaNGjUq6o8TuWCnG72oQhXeWvMWv5n9G0I2xAs3vcAvO/9SO3aLiJRRChkieX1njKlrrd0XuR3qQKR/D9Aw5roGkb495N5eFe1fEOlvcJrrv8da+ybwJkBSUlKRhxqR8xW7clR09KKdace2o9u4JfkWFmxfwPVNr+etm9/ikuqXeF2uiIh4SBO/RfKaDERXiLoPmBTTf29klamuQErktqqZwI3GmOqRCd83AjMjz6UaY7pGVpW6N+a9RHznpD3J7PBs5ofnU4MaDA0OpQ1teGHFC7R/rT1r963lrZvfYs49cxQwREREIxlSdhlj/o0bhahljNmNWyXqOWCMMeYBYAdwe+TyaUA/YCtwAvgJgLX2iDHmj8CqyHV/iE4CB36OW8GqAm7CtyZ9iy9tD29nUXgRmWTSJdCFDqYDmw5u4v7J97Nyz0oGtBzAa/1fo0Fig3O/mYiIlAnGLZYjIiVBUlKSXb16tddliACQZbNYHl7OV/YralKTnsGeJIYT+cuSv/CnRX+iavmqvNznZYa1G6Y9L0REyiBjzBprbdLpntNIhoiIfM9eu5cFoQUc5zgdTUeSAklsPLCR3hN7s27/Ooa1G8bLfV6mdqXaXpcqIiIlkEKGiIickmNzWBVexXq7nkQSGRgcSC1bi+cWP8czC5+hWvlqjL99PINbD/a6VBERKcEUMqRUMMYEcXtanPp32lq707uKRPznkD3EvNA8jnKUNqYNXQNd2XpoKwMnDmTV3lXc1uY2Xu33qkYvRETknBQyxPeMMb/ETdr+DghHui3QwbOiRHwkbMOss+tYE15DecrTN9CX+tTnheUv8MS8J6gcX5lPhn7C7W1vP/ebiYiIoJAhpcMjQCtr7WGvCxHxmzSbxrzQPPazn0vMJXQLdGPXkV10n9SdZbuWMajVIN4Y8AZ1KtfxulQREfERhQwpDXYBKV4XIeI3W8NbWRxejMXSM9CTZjTj1ZWv8rs5vyMhLoFRg0fxo/Y/0spRIiLygylkSGmwDVhgjJkKZEY7rbX/8K4kkZIry2axJLyELXYLdajD9cHrOXzsML0n92bB9gX0bd6Xt25+i/qJ9b0uVUREfEohQ0qDnZEWH2kicgb77X7mheZxnON0Mp243FzOyHUjeXjGwxgM7wx8h590/IlGL0RE5IIoZIjvWWufATDGVI48Pu5tRSIlT9iGWRtey1q7lspUZmBwIMETQW6bchsTvppAj8Y9+OCWD2hcrbHXpYqISCmgkCG+Z4xpB4wCakQeHwLutdZu9LQwkRIi1aYyLzSP7/iOFqYF1wauZfaW2Tww+QGOZhzlbzf8jV9d9SsCJuB1qSIiUkooZEhp8CbwK2vtfABjzHXAW8DVXhYl4jVrLVvsFpaEl2Aw9Ar0om5OXR6Z/givr3md9he1Z9Y9s+hQR6s9i4hI4dKvraQ0qBQNGADW2gVAJe/KKcGys+G55+DkSa8rkSKWZbOYH57P/PB8alKTocGhHN57mMvfuJw31rzBr6/6NSuHr1TAEBGRIqGRDCkNthljnsTdMgVwN27FKclv0SJ4/HGYNQsmT4bKlb2uSIrAQXuQOaE5pJFGUiCJduF2/GXhX/jToj9RP7E+8+6bx3VNrvO6TBERKcU0kiGlwf1AbWB8pNWO9El+vXrByJEubNx0E6Roe5HSxFrLhvAGJoYmEiLEgOAAqhytQrf3uvHMwme4q/1drH9ovQKGiIgUOY1kiO9Za48CD3tdh2/cfTdUqADDhrnQMXMm1KzpdVVygU7akywIL2Cn3Ulj05gepgcffv4hj8x4hIRgAmOGjuG2trd5XaaIiJQRChniW8aYF621jxpjkgGb/3lr7UAPyvKHW2+FiRPdsWdPmD0b6tTxuio5T3vtXuaG5pJBBlcHrqZeRj3umXIP4zaN4/qm1zPylpHaWE9ERIqVQob4WXQOxv95WoVf9e8PU6fCwIHQowfMnQv19UXUT2L3vkgkkb7BvmzcsZF+E/qx//h+nu/9PP999X9raVoRESl2+j+P+Ja1dk3ktKO1dmFsAzp6WZtvRG+X2rsXuneH7du9rkgK6Lg9zpTQFNbYNbQwLbiZm3lp/kv0/KAn5ePKs/yB5fzmmt8oYIiIiCf0fx8pDe47Td+Pi7sI37r2WjeKcfQodOsGW7Z4XZGcw87wTsaFxnGQg/QM9KRxamN6f9CbPy3+Ez/u+GM+/+nnJNVL8rpMEREpw3S7lPiWMeZO4C6gqTFmcsxTVYAj3lTlU1deCfPnww03uBGNOXOgbVuvq5J8wjbMqvAq1tl11KQmvYO9mbphKj+b+jMCJsDHt37MHe3u8LpMERERhQzxtWXAPqAW8PeY/jRgvScV+dlll8HChe4Wqh493GTwyy/3uiqJSLfpzAnNYT/7aW1a0y67Hb9M/iWj14/mmobX8OGQD2lcrbHXZYqIiAAKGeJj1todwA7gKq9rKTVat3Z7aPTq5VadmjoVrrnG66rKvF3hXcwLzyOHHK4PXM/RfUdJGpvEjpQdPHPdMzze7XHiAvrrXERESg7NyRDfM8Z0NcasMsYcN8ZkGWNCxphUr+vyrebNYfFiuOgiFzReeQXs91YIlmIQtmFWhVYxLTyNClRgcGAwyZ8lc8271xCyIRb9eBFP9XhKAUNEREoc/Z9JSoN/AsOAT4Ek4F6gpacV+V2jRvDZZ/DjH8PDD7vQ8fbbkJjodWVlxgl7grnhuey1e2lpWnJpxqXcO+lepm6ZyuBLB/POwHeoXqG612WKiIiclkYypFSw1m4FgtbakLX2PaCP1zX5XvXqbsO+v/4Vxo93k8M3bPC6qjJhb3gv40LjOGAP0CPQg7jdcVz5xpXM3jabV/q+wrjbxylgiIhIiaaQIaXBCWNMPLDOGPO8MeYx9O924TAG/ud/YN48SE2FLl3ggw+8rqrUstayNryWKeEpxBPPzeZmxi0Zx3UfXEeFchVY/sByRnQegTHG61JFRETOSl/EpDS4BwgCI4B0oCFwq6cVlTbdu8Pnn0PXru4WquHD4eRJr6sqVTJsBtPD01kVXkUz04yrTl7Fjz76EU/Mf4I72t7BmgfXcEXdK7wuU0REpEA0J0N8L7LKFMBJ4BkvaynVLr4YZs2C3/8e/vxnWL0axo6FZs28rsz3DtqDzA7NJp10rg1cy95v99J5QmdSM1N5++a3uf/y+zV6ISIivqKRDPEtY8wGY8z6MzWv6yuV4uLg2WdhyhTYsQOuuAImTPC6Kl/7KvwVk0KTsFj6m/58vOBjbhp9EzUr1mTl8JU8cMUDChgiIuI7GskQPxvgdQFlVv/+7vap226DIUPg0Udd+KhY0evKfCPH5rA0vJSv7FfUN/Vpk96GO8ffyaIdi7i/4/283PdlKsVX8rpMERGR86KQIb4Vc5uUeKFxY7e07a9/DS++CJMmwauvQt++XldW4qXZNGaFZnGIQ1xuLidtRxpXj7+atKw0Rg0exd0d7va6RBERkQui26XE94wxacaY1EjL0GZ8xSghwW3Wt2CBO+/XD26/Hfbu9bqyEmtXeBfjQuNIJZUbzA3MXjqbG0ffSPUK1Vk1fJUChoiIlAoKGeJ71toq1tpEa20iUAG3stS/PC6rbOnRA9atgz/+ESZPhtat4Z//hFDI68pKjOjytNPC06hEJa7LvI4RH4/giflPMKzdMFYNX0Wb2m28LlNERKRQKGRIqWKdicBNXtdS5iQkwBNPwBdfuP00fvlLuOoqN3ejjMu0mcwIz2BVeBXNTXPq7avHdW9dx9xv5/Ja/9cYPXg0leMre12miIhIoVHIEN8zxgyJaUONMc8BGV7XVWY1bw4zZ8JHH7kVqJKS4LHHIC3N68o8cdgeZnxoPLvtbq42V7Nx9UZ6vt+TgAmw9P6lPJT0kFaPEhGRUkchQ0qDm2PaTUAaMMjTiso6Y+DOO+Grr9zGfS++CG3auOVurfW6umKzLbyNiaGJ5JDDdTnX8cfxf+SRGY9wU/ObWPvgWpLqJXldooiISJFQyBDfs9b+JKYNt9Y+a609cL7vZ4xpZYxZF9NSjTGPGmOeNsbsienvF/Oa/zXGbDXGbDbG3BTT3yfSt9UY87sL/Vl9p3p1eP11WLbMnQ8ZAtdf7x6XYmEb5rPQZ8wOz6YmNWl5qCUD3h7AuE3jeK7Xc0waNonqFap7XaaIiEiRUcgQ3zPGXGKMSTbGHDTGHDDGTDLGXHK+72et3Wyt7Wit7Qh0Ak4A0R3nXog+Z62dFvn8NsAwoC3QB/iXMSZojAkCrwJ9gTbAnZFry56rroI1a+Dll2HTJrjmGrcS1dq1XldW6KLzL9bZdbQ2rUn7Mo2e7/QkNTOVeffO47fX/paA0V+9IiJSuun/dFIafASMAeoC9YBPgX8X0nv3Ar45x54cg4CPrbWZ1tpvga1A50jbaq3dZq3NAj6mLN/GVa6cmwz+zTfw3HOwYgV06gRDh8LGjV5XVyiO2COMD41nj91DV9uVsbPGcu+Ee0mql8TnP/2cHk16eF2iiIhIsVDIkNKgorV2lLU2J9JGA+UL6b2HkTewjDDGrDfGvGuMid7vUh/YFXPN7kjfmfrLtkqV4Le/hW+/hd//HmbNgvbt4Z57XADxqW/D3zIxNJFssul8ojMjRo/glZWv8GiXR5l771wurnyx1yWKiIgUG4UMKQ2mG2N+Z4xpYoxpbIz5H2CaMaaGMabG+b6pMSYeGIgbGQF4DWgGdAT2AX+/0MIjn/OgMWa1MWb1wYMHC+Mt/aFqVXj6aRc2fvMbGDcOWrWCBx+EXbvO+fKSwlrLqtAqZoVnUZ3q1NtTj75v9WXtvrV8NOQjXujzAuWC5bwuU0REpFgpZEhpcDvwU2A+sAD4GW4EYg2w+gLety+w1lr7HYC19jtrbchaGwbewt0OBbAHaBjzugaRvjP152GtfdNam2StTapdu/YFlOtTNWvCX//qRjF+/nP44AO3DO7Pfw5btnhd3VlF51+stWtpSUt2rtlJ35F9qViuIiseWMGd7e/0ukQRERFPKGSI71lrm56lnfcEcOBOYm6VMsbUjXluMPBF5HwyMMwYk2CMaQq0AFYCq4AWxpimkVGRYZFr5XTq1nUTw7/+Gu67D955x41s3HILLFpU4pa+PWaPMTE0kd12N1eEruC95Pd4dMaj9Gneh9UPrqZ9nfZelygiIuIZhQzxPWNMOWPMw8aYsZE2whhzQfenGGMqATcA42O6nzfGbDDGrAd6Ao8BWGs34iaefwnMAH4RGfHIAUYAM4FNwJjItXI2jRvDm2+6jfyeeAKWLoUePeDKK90Gf9nZXlfIrvAuJoQmkEEG7VLbMfy94YxeP5pnrnuGScMmUa18Na9LFBER8ZSxJey3gyI/lDHmbaAc8EGk6x4gZK39L++qOj9JSUl29eoLucOrFDp5EkaPhn/8w23uV78+PPyw2+SvevHuNWGtZYPdwIrwCmpQA7PNMHzCcCyWD4d8SL8W/c79JiIiIqWEMWaNtfa0O8tqJENKgyuttfdZa+dF2k+AK70uSgpJhQouUGzcCNOmQevWbnWqhg3dkrhbtxZLGSEbYlF4EcvDy2lEIzYt28Rt/76NhlUbsnr4agUMERGRGAoZUhqEjDHNog8iG/GFPKxHikIgAH37wuzZsG4d3HYbvPEGtGgBN9wAY8ZAVlaRfPRJe5IpoSl8Zb+idXZr3p3wLk/Nf4ph7Yax/IHlNKvR7NxvIiIiUobodinxPWNML+A9YFukqwnwE2vtfM+KOk+6XeoH2rcP3nrLTRLfuRNq1XKTxocPd5PGC8Fhe5gZoRmc5CTNU5vz6JhHWf/dev7a+6/8+upfY4wplM8RERHxG90uJaXdUuANIAwciZwv97QiKR5168JTT8G2bTB9OnTvDi+9BJde6iaLjx7t5nScp+gGe2HC1NpVi6FvD2X7se1M+9E0fnPNbxQwREREzkAhQ0qDkUBT4I/AK8AlwChPK5LiFQxCnz5uQ79du+C552DvXreLeL16bqL4hg0FfjtrLWvDa90Ge7Y63635jqGjhnJRpYtYNXwVfZr3KcIfRkRExP90u5T4njHmS2ttm3P1+YFulypE4TAsXOhupxo3zs3XuOIKFzyGDYOLLz7ty3JsDgvDC9lqt9Io1IgxM8bw/rr3ubnlzYweMprEhMRi/kFERERKJt0uJaXdWmNM1+gDY0wXLmynbykNAgHo2dPtrbF3L7z4IhgDjz3mlsHt2xc+/BDS00+95IQ9weTQZLbarTRNb8ofRv2B99e9z5Pdn2TisIkKGCIiIgWkkQzxPWPMJqAVsDPS1QjYDOQA1lrbwavafiiNZBSDTZvcXI3Ro91k8UqVYMgQDv/0dmZ0SSGDDGruq8kvPv0FKRkpfHDLB9za5lavqxYRESlxzjaSEVfcxYgUAd0gLwXXujU8+yz88Y+wZAmMHs3OQ+uY03or5fZnc3L0IoZlz6JeYn2WP7Cc9nXae12xiIiI7yhkiO9Za3d4XYP4UCAA3buz8dqaLA0tpepRWPGPF3ix6ldcvw3GrIaaBz6GOyy0b+9utRIREZEC0ZwMESmTwjbMstAyloSXUDunNqPnJvNi1a/4WbufMOPa16hZr5lbpeqyy6BtW3j6aXerlYiIiJyT5mSIlCCak1E8sm02c8Nz2WF3UDulNs98+gxfHPiCl/q8xIjOI3IvPHDArUz1ySewaBHYyKjGHXe41ry5dz+EiIiIx842J0MhQ6QEUcgoesftcWaEZnCEI1TaW4lfjfkVmTmZjLltDDc2u/HML9y7F8aOdYFj2TLXd8UVMHQo3HortGxZPD+AiIhICaGQIeITChlF66A9yIzQDLLJJvWLVH475bc0TGzIlLumcGmtSwv+Rrt2waefwpgx8Nlnrq99exc4hg6FNr7bokVEROQHU8gQ8QmFjKKzPbydueG5xNt41i5cy4tLX+S6Jtcx9rax1KxY8/zfeNcuGD/ejXIsXepuqbr00twRjssu06RxEREplRQyRHxCIaNofBH+gqXhpVTOqsyY5DFM/moyw68Yzj/7/ZP4YHzhfdC+fTBhggscCxe6XcebNXNh49Zb4corFThERKTUUMgQ8QmFjMJlrWVFeAXr7XoqpVbi/z79PzZ8t4G/3/h3HunyCKYov/AfPAgTJ7rAMW8e5ORAgwYweDAMGQLXXgtxWkVcRET8SyFDxCcUMgpPyIaYH57PN/YbgvuCPDnmSdKz0vlk6Cf0bdG3eIs5cgSmTHG3Vc2cCRkZUKsWDBrkAkevXpCQULw1iYiIXCCFDBGfUMgoHJk2k5mhmexjHye2nOD/jf9/XFTpIqbeNZW2F7X1trjjx2HGDBc4pkyBtDSoUgUGDHCBo08fqFzZ2xpFREQKQCFDxCcUMi5cmk1jWmgaqaSyY9UO/jzrzyTVSyL5zmTqVK7jdXl5ZWa6W6nGj3e3Vh06BOXLw403utuqbr4Zal7ApHQREZEipJAh4hMKGRfmkD3E9NB0ssJZLJu7jHdXvsvgSwczeshoKpar6HV5Z5eTA0uWuInjEya4VauCQeje3Y1w3HKLm9MhIiJSQihkiPiEQsb52xXexezwbGyW5dOJnzJzy0x+1fVXPH/D8wQDQa/L+2GshTVrcgPHpk2uv3NnN8IxeDC0auVtjSIiUuYpZIj4hELG+fkq/BWLwosgDf415l9s+G4Dr/R9hZ9f+XOvSyscX32VGzhWrXJ9rVu7EY7Bg93O41oaV0REiplChohPKGT8MNZa1tg1rAmvIedgDn/9+K8cOXmET4Z+Qv+W/b0ur2js2uXmb4wfD4sWub04GjXKHeG49lp3m5WIiEgRU8gQ8QmFjIIL2zCLw4v5yn5FyrYU/jTuT1RJqMKUO6dwed3LvS6veBw6BMnJboRj1iw3kbx2bRg40AWO3r21NK6IiBQZhQwRn1DIKJgcm8Pc8Fy22+3s+HwHz09/nrYXtWXqXVNpkFhGJ0enpbmlcSdMyF0at3Jl6N/f3VbVt69bKldERKSQKGSI+IRCxrlF98DYa/eyZuEa3l76Nn2a9+GToZ+QmJDodXklQ3Rp3AkT3K1VBw+6EY3o0rgDB2ppXBERuWAKGSI+oZBxdifsCaaFpnEwdJDZ02YzYf0E/uvy/+K1Aa8RF4jzurySKRSCZcvcHI7x42HnTjdno0eP3KVx69f3ukoREfEhhQwRn1DIOLMUm8K00DSOZB1h7PixLPhmAU/3eJqnejyF0cpKBWMtrF3rwsa4cbB5s+vv2tUFjiFDoFkzb2sUERHfUMgQ8QmFjNM7ZA8xLTSNY+nHeHfMu2zYt4HX+7/O8E7DvS7N3zZtyh3hWLvW9XXoALfe6gJH27ZaGldERM5IIUPEJxQyvm+v3cvM0EyOHj3KP//9T/an7eeToZ9wc6ubvS6tdNm+3c3hGD8eli51ox4tW7qwceut0KmTAoeIiOShkCHiEwoZeX0b/pa54bkc2HuAFz55AWstyXcmc1XDq7wurXTbtw8mTXK3VM2f7+Z1NGqUe0vV1VdrLw4REVHIEPELhYxcm8KbWBxezK5vdvHCuBeoVbEWM++eSatarbwurWw5cgQmT3YjHNG9OOrUcRPGhw51E8jLlfO6ShER8YBChohPKGQ4n4c/Z2V4JZvXb+aVqa/QtnZbpv9oOnWr1PW6tLItLQ2mTXMjHNOmQXo61KgBgwa5W6q0+Z+ISJmikCHiE2U9ZFhrWRleyefhz1m1fBXvzn+XXk17Mf6O8doDo6Q5eRJmznSBIzkZUlIgMREGDHAjHDfdBBUrel2liIgUIYUMEZ8oyyHDWsvS8FI2hDcwZ/Ycxq8az53t7uT9W94nPhjvdXlyNllZMHcujB3r5nIcPuwCRr9+boSjf3/tNi4iUgqdLWQEirsYET8wxmw3xmwwxqwzxqyO9NUwxsw2xmyJHKtH+o0x5mVjzFZjzHpjzBUx73Nf5Potxpj7vPp5SrqwDbMgvID1OeuZOHki41eN51ddf8XoIaMVMPwgPh769oV33oH9+2HOHLjvPliyBO68E2rXdnM4Ro2CY8e8rlZERIqBRjJETsMYsx1IstYeiul7HjhirX3OGPM7oLq19rfGmH7AL4F+QBfgJWttF2NMDWA1kARYYA3QyVp79EyfWxZHMkI2xLzwPL7K+opPJ3zK4i2Lefb6Z/nfa/9Xm+z5XXS38XHjXNu9200Sv+EGN8IxaBDUrOl1lSIicp40kiFSOAYBH0TOPwBuiekfaZ0VQDVjTF3gJmC2tfZIJFjMBvoUd9ElWY7NYVZ4FhszNjLyk5Es2bKEf/X7F493e1wBozQIBqFbN3jxRdixA5Yvh0cegS+/hAcecKtU3XgjvPEGHDjgdbUiIlKIFDJETs8Cs4wxa4wxD0b66lhr90XO9wN1Iuf1gV0xr90d6TtTfx7GmAeNMauNMasPHjxYmD9DiZZls5gens7G4xt5a/RbrNu1jg+HfMjPrvyZ16VJUQgEoGtX+NvfYNs2WL0a/ud/3CaADz0EdetCz57w6qtunw4REfE1hQyR07vWWnsF0Bf4hTGme+yT1t1nWCj3Glpr37TWJllrk2rXrl0Yb1niZdpMpoamsjFlI/8a9S+2HdrGxDsmcmf7O70uTYqDMW4H8T//GTZvhv/8B554wo1mjBgB9eu7EZCXXoJdu879fiIiUuIoZIichrV2T+R4AJgAdAa+i9wGReQYvb9jD9Aw5uUNIn1n6i/TTtqTJIeS2Xh4I6988AqHjx9m1t2z6N+yv9eliReMgQ4d4JlnYONG1555BlJT4dFH3U7jV10Ff/+7G/UQERFfUMgQyccYU8kYUyV6DtwIfAFMBqIrRN0HTIqcTwZBMffcAAAgAElEQVTujawy1RVIidxWNRO40RhTPbIS1Y2RvjLruD3O5NBkNuzfwIsjXyQ7J5sF9y2gW+NuXpcmJUWbNvDkk250Y/NmN9qRlQW//jU0bQpXXgl//St8843XlYqIyFlodSmRfIwxl+BGLwDigI+stc8aY2oCY4BGwA7gdmvtEeNmKP8TN6n7BPATa2102dv7gccj7/Wstfa9s312aV5dKs2mkRxKZsPODbw65lWqJVRjzr1zaFmzpdeliR9s2+ZWqPr0U1i1yvV17Og2/hs6FFq18rY+EZEySJvxifhEaQ0ZqTaV5FAyq7eu5vVxr9O4amNm3zObhlUbnvvFIvnt2AHjx7vN/5Ytc33t2sFtt7nA0aaNt/WJiJQRChkiPlEaQ0Y0YCzbtIw3J75JhzodmPGjGdSuVDYmuUsR2707N3AsWQLWQuvWuSMc7du7eR8iIlLoFDJEfKK0hYwUm8KU0BQWfbGIdya/Q9cGXZl611Sqlq/qdWlSGu3bBxMmuMCxcCGEw9C8eW7guOIKBQ4RkUKkkCHiE6UpZKTYFJJDySxcv5B3kt+hR5MeJN+ZTOX4yl6XJmXBgQMwcaILHPPmud3HmzTJDRydOytwiIhcIIUMEZ8oLSEjGjDmfj6XD6Z9QK9LejFp2CQqlqvodWlSFh0+DJMnu8AxezZkZ0PDhnDrra5dfbXbLFBERH4QhQwRnygNISPFpjA5NJlZq2cxeuZo+jbvy/g7xlM+rrzXpYnAsWOQnOwCx8yZkJnpdhsfPNiNcHTrBnFxXlcpIuILChkiPuH3kHHMHiM5lMz0z6bz7zn/ZlCrQXwy9BMS4hK8Lk3k+1JTYepUFzimT4eTJ6FWLbjlFhc4rr8eypXzukoRkRJLIUPEJ/wcMqIBY/KyyYydP5ahbYby0ZCPKBfUlzTxgfR0mDHDBY4pU+D4cahWDQYNcrdU3XADlNdonIhILIUMEZ/wa8g4ao+SnJPMxCUTmbBoAne1v4sPbvmAuIBuOxEfysiAWbPc5n+TJkFKClSpAv37u8DRty9UquR1lSIinlPIEPEJP4aMaMAYu3AsyUuTue+y+3hn4DsEA0GvSxO5cFlZbnWqcePc8riHD0OFCtCnDwwZAgMGuBEPEZEySCFDxCf8FjJSbSoTcyby8byPmb5iOsOvGM7rA14nYLRSj5RCOTmwaJHb/G/8eLcvR7ly0KuXG+EYNAhqa5NJESk7FDJEfMJPIeO4Pc6knEmMnDOSWStn8Ysrf8HLfV9WwJCyIRyGzz5zIxzjxsH27W4Z3O7dXeAYPBjq1/e6ShGRIqWQIeITfgkZJ+wJJuVMYvSC0UxbNo2HOz/Mi31exGhzMymLrIV169zoxrhxsGmT6+/SxYWNIUOgRQtvaxQRKQIKGSI+4YeQkWEzSA4lM2rRKJIXJ/NQp4f4V/9/KWCIRG3a5OZvjB8Pa9a4vrZtXdgYPBg6dtRu4yJSKihkiPhESQ8ZWTaLKaEpjFo6iokLJnJ/x/t5a+BbukVK5Ex27ICJE13gWLLE3WbVpElu4LjqKghqkQQR8SeFDBGfKMkhI9tmMy00jdErRjN27lju7nA37w96X6tIiRTUgQMwebIb5Zg9G7KzoU4dGDjQbQDYqxckaONKEfEPhQwRnyipISNkQ8wIz2DUylF8MusTbmtzGx/d+pH2wRA5XykpMG2aCxzTp7vN/ypXhn793AhH375QtarXVYqInJVChohPlMSQEbIh5oTnMGrNKD6c/iG3XHoLY4aO0U7eIoUlI8PtxTFxotv878ABtzTu9de7EY5Bg6BuXa+rFBH5HoUMEZ8oaSEjbMPMD89n5LqRjJwykn4t+jH+9vEkxOmWDpEiEQrBihUucEyYAN984/q7dnVhY9AguPRSTRwXkRJBIUPEJ0pSyLDWsii8iJEbRvLepPfofUlvJt85mfJx5b0uTaRssBa+/DI3cERXqmrRws3jGDQIrr5aE8dFxDMKGSI+UVJChrWW5eHlvP/l+7w74V26Ne7G1LumUrFcRa9LEym7du+G5GR3S9W8eW7ieM2aMGCACxw33giVKnldpYiUIQoZIj5RUkLGuvA63tj0Bm+Nf4uu9bsy4+4ZVI6v7HVZIhKVmgozZ7rVqqZOhaNH3cpUvXu7UY4BA6BePa+rFJFS7mwhQ0vDiEgeX4e/ZuS2kbwz4R06XdyJaT+apoAhUtIkJsJtt7mWne324Jg82Y1yTJ3qrunUCW6+2bXLL9c8DhEpVhrJEClBvB7J2BXexZt73+Tvo/5O06pNWfyTxdSoUMOzekTkB7IWNm6EKVPcrVXLl7u++vXd6MaAAW4/jgoVvK5UREoB3S4l4hNehoyD9iBvHXyL50c+T2IwkWUPLKNBYgNPahGRQnLwoNuPIznZ3V51/LgLGL17uxGOfv1cABEROQ8KGSI+4VXISLEpfHDsA/408k+EMkMsvX8pl9a6tNjrEJEilJkJCxe6wJGcDDt2uP6OHaF/f9c6d9ZqVSJSYAoZIj7hRcg4aU/yYfqH/GHUHzhy9Ajz7ptH5/qdi7UGESlm0duqpk51bdkyt0dHrVrQp48LHDfdBNWre12piJRgChkiPlHcISPbZjM2Yyy///fv2b5nO1PvmsoNzW4ots8XkRLi6FF3O9XUqTB9Ohw+7EY0rr7a3VLVrx+0b6/J4yKSh0KGiE8UZ8gI2RDTcqbx5NgnWf/1ev5967+5o90dxfLZIlKChUKwcmXuKMe6da6/fn03ytGnD9xwA1St6m2dIuI5hQwRnyiukGGtZX5oPk9OeZJl/1nGK31fYUTnEUX+uSLiQ3v3wowZboRj9mxISckd5ejb17XLLtMoh0gZpJAh4hPFFTJWhlby1LynmLlsJk92f5I/9PxDkX+miJQCOTmwYoULHNOnw+efu/6LL84d5ejd2+1ELiKlnkKGiE8UR8jYGN7I08ufZuycsTzY6UFe7/86Rr+BFJHzsW+fm8sxYwbMmuXmdhgDV14JN97oJo936QLlynldqYgUAYUMEZ8o6pCxN7yXJ/7zBO9Nfo8hrYcwZugYggEtVykihSAnB1avdqFj1iw34hEOu93Jr78+N3RcconXlYpIIVHIEPGJog4ZC7YvoPeo3nRv1J3pP5pOQlxCkX2WiJRxx47BvHkudMycmbsvR7NmLmz07g09e0K1at7WKSLnTSFDxCeKOmScyD7B7+f/nid7PEliQmKRfY6ISB7WwpYtboRj5kyYPx/S0yEQcLdW9e7t2lVXQYJ++SHiFwoZIj7h1Y7fIiLFKisLPvsM5sxx7bPP3NK5FSpA9+5uidzevd3eHIGA19WKyBkoZIj4hEKGiJRJKSmwcGFu6Ni0yfXXru3mc/Ts6Y7Nm2upXJES5GwhQ78eEMnHGNPQGDPfGPOlMWajMeaRSP/Txpg9xph1kdYv5jX/a4zZaozZbIy5Kaa/T6RvqzHmd178PCIiJV7VqjBwILz8Mnz5JezeDe+/7+ZuLF4MDz0ELVtCo0Zw333uuZ07va5aRM5CIxki+Rhj6gJ1rbVrjTFVgDXALcDtwHFr7f/lu74N8G+gM1APmAO0jDz9NXADsBtYBdxprf3yTJ+tkQwRkXyi8znmzXNt/nw4dMg916xZ7ihHz55uvw4RKTZnG8mIK+5iREo6a+0+YF/kPM0Yswmof5aXDAI+ttZmAt8aY7biAgfAVmvtNgBjzMeRa88YMkREJB9j3ChGy5ZuRCMcho0bcwPHp5/C22+7a1u2hB49cluDBt7WLlKG6XYpkbMwxjQBLgc+i3SNMMasN8a8a4ypHumrD+yKednuSN+Z+vN/xoPGmNXGmNUHDx4s5J9ARKSUCQTchPBHHoGJE+HwYVi1Cv72NxcyPvkE7r4bGjZ0czgeeABGjsxdQldEioVChsgZGGMqA+OAR621qcBrQDOgI26k4++F8TnW2jettUnW2qTatWsXxluKiJQdwSAkJcGvfw3JyXDkCKxZA//4B7RrBxMmuHkcTZq4dt99buRj82Z3K5aIFAndLiVyGsaYcriA8aG1djyAtfa7mOffAqZEHu4BGsa8vEGkj7P0i4hIUQgG4YorXHvsMXd71YYNbvWqhQth2jQ3sgFw0UVw7bWudesGHTtCnL4aiRQGTfwWyccYY4APgCPW2kdj+utG5mtgjHkM6GKtHWaMaQt8RO7E77lAC8DgJn73woWLVcBd1tqNZ/psTfwWESli1rpRjMWLXVuyBL791j1XqZLbELBbN9c6d3Z9InJamvgt8sNcA9wDbDDGrIv0PQ7caYzpCFhgO/BTAGvtRmPMGNyE7hzgF9baEIAxZgQwEwgC754tYIiISDEwBi691LXhw13fnj0ubESDx9NPuzASDLrRjauvhmuucceGDc/69iLiaCRDpATRSIaISAlw7BgsW5bbPvsMTpxwzzVo4MJGtHXsCOXKeVuviEe047eITyhkiIiUQDk5sH593uARXa2qQgW48kro0gW6dnXH+mdb9Vyk9FDIEPEJhQwREZ/YsweWL88NHZ9/DllZ7rkGDVzYiAaPTp2gYkVv6xUpAgoZIj6hkFEEwiEInYDQSTBxEEyAQAIENCVNRApRZib85z+wYoW7vWrFCti2zT0XDEKHDi50dO7sRj5at3b9Ij6mkCHiEwoZZ2EtZB2F9G/h+LdwfJs7ntwDOemQc8KFifzHcNbp388EXdgIls8NHsHy7lguERJqQfna7pgQcywf8zhOv5kUkbM4eNAFjmjoWLkSUlPdc5UquWV2k5Jc6LjySmjWzE1MF/EJhQwRn1DIAEIZcOgzSNnogkR6TKDITsl7bXwNqNgQylWGYEX3pT/PsVLM4/JgQ+79Q5kQznTn0WMoE8IZ7jw7FTIPQeZByDzsXnc6cZXc51dsBJUa5R6j5xUbuAAjIgJuz44tW9wO5dH2+eeQkeGer149N3QkJbnbrBo2VPCQEkshQ8QnymTICGXC4c/gu/nw3QI4tNx98QcXDCo1hcpNI8dL3Hn0WC6x6OuzYRduMg7GBI9D7nHGd3BiF6TvhBM73eP8yl/sQkflZlClOVRpkdvia+jLg0hZl50NGzfmDR4bNkAo8suNWrVyNxe84goXPJo21d8dUiIoZIj4RJkIGaFMOLzSBYoD812oCGUABqpfDnWug4uugxqdoMLFYALe1vtDhDLgxO7c0HHquAPSvoETO1xoiSpXLW/oqNIcqrSEqq2hXBXvfg4R8dbJk241q7VrXVuzBr74wgUSgKpVcwPH5Ze71rKl5nhIsVPIEPGJUhsyQpmwaxxsex8OLnGTsDFQ/TK4qGckWHSD+OoeF1rEQpmR+SRbIW1LpEXO03fg9nmMqNgAElu7VjXmmFBbv8EUKYsyM13QiIaOtWtdEMmMjPxWqADt27t9O6KtfXuoXNnbuqVUU8gQ8YlSFzKOfwtb34Bv3nW3GVW+BOrfDHV6Qu1ukFDD6wpLjlCmm3uSuhlSN0HKJndM3eQmtkfF14iEjjZQrR1UbeeO5S/yrnYR8UZ2Nmza5Fa1WrfOtc8/h6NH3fPGQPPmuaGjQwfXNM9DColChohPlIqQEQ7B3mmw5TXYN8P9j6z+zdD8Z1D3Bn/d/lQS2LC7BSs2dKRschPjs47kXpdQO2/oqNoOqraF+Kre1S4ixc9a2L07N3REW3Q5XXC3W7Vv71qHDrnnicUwz01KFYUMEZ/wdcg4uR++eQe2vunmIVSoC83+C5oNh0oNva6u9LHWTTRP+QKOfRFz3Ag5x3Ovq9gQqrV3rWp7qN4BqrSCYLx3tYtI8UtJcbdbbdjgbrNav96dR5fUBWjc2IWOdu2gbVt3bNUKypf3rm4p0RQyRHzClyHj6HrY+CzsGg82B+pcDy1+Bg0GQaCc19WVPTbsVrw6FTw2uJa6CcKRSaMmDhIvhWodIgEkcqzYQLdQiJQl1sLOnbnBI3r8+mvIyXHXBALulqu2bXODR9u2bqJ5vH5ZUdYpZIj4hK9CRvZx2PA0bH4R4qrAJT+GFg9BYiuvK5PTCWe7+R7HNsCx9bnh48TO3GvKVcsNHdU7uJGPau200pVIWZOV5YLGxo2uffGFO27d6vb6AIiLgxYt3M7lsa1VK7fRoJQJChkiPuGbkLF7Mqwe4X5j3uy/oONfNYnbr7KOuVGPU8EjcsxJy72m8iXfH/Wo3BwCWi5TpEzJyIDNm3PDx8aNbuL5N9/k7usB0KjR6cNHba2OV9ooZIj4RIkPGek7Yc3DsHuSm1jc+XWofY3XVUlhs9YtqZsneKyHtK9z9/kIVoCqbXLnekQDSIU63tYuIsUvK8uNcmzalLdt3gwnTuReV62au82qVSvXouctWrgleMV3FDJEfKLEhoxwDmx+CTb83n3JbP80XPqY5lyUNTkn3dyO/KMesTudJ9TOnWh+KoC0hTjdPiFS5oTDsGtXbuD4+mt33LzZrYAVq1Gj3ODRvLkLHi1aQJMmmvtRgilkiPhEiQwZh1bAyofg2H+gXn9I+idUbuJ1VVKSZBzIneMRbSlfRDZdjKh8Sd7ldau10ypXImVZejps2ZIbOqIB5Ouv8654FQi4oBENHrHHJk0gIcGrn0BQyBDxjRIVMrKOwrrH3WZ6FepB0svQYLDup5WCCYfc5oJ5ltjdELnlKnLvtolzCwVE9/So1tYdKzeDQJy39YuIN6yFQ4fc7Vdbtnz/mJKSe60x0KABXHIJNGuW93jJJVCzpv6fVcQUMkR8osSEjJQvYX4fOLkHWj4MHf6gFYakcIQy3SpX+ff3SP8295pAfCR8tI3sbK7wISK4AHL4cG7o2LbNTTqPHvfvz3t9YqILG02butakSe6xSROoXNmDH6J0UcgQ8YkSETIOLIFFA90Xve6ToVZnb+uRsiH7OKR+5TYTTNnogm7KRkjfnntNNHwktnb7fCS2hqqtoUpLiNOkUZEyLz0dtm/PGzy++cb1bd8OJ0/mvb5Wrbyho0kTtyFho0buqB3Qz0khQ8QnPA8ZuybAsrvcLtE9Z0Llpt7VIgKQkw4pm3JDR8pGF0bSv81d6QoDlZq4wBEbPhIvhYSaXlYvIiWFtXDggAsb3377/eOOHW6VrFjVquUGjtjw0agRNGwIF18MwbK9lLdChohPeBoytrzm9r6ocSX0mALla3lTh0hBhDIg9WsXOFI3RUZBNkHaZvdcVHwNN/pRpSUktnSTzRNbun0+NPohIlHhMHz3nQsbO3a4ndBjjzt25J0PAm5Dwnr13LyQhg1diz1v2BAuushNXi+lFDJEfMKTkGEtrH8SNj7rVo+69hMtNyr+FQ65XcyjgSP168hxM5zcG3OhgUqN8oaOKi2gSnM3KqJVr0Qkv5QUFzp27nRL80bb7t2555mZeV8TFwd160L9+qdvDRq4o0/3CVHIEPGJYg8Z4RxY+VPY9i5ccj90fkMTa6X0yj7uVrc6FTxijrE7nJsAVGycGzqqNI+EkObuFsJgee9+BhEpuaIrY8WGjj17ctvu3e54/Pj3X1utmhsVqVs39xh7Hj1WrFj8P9dZKGSI+ESxhoycdFhyB+ydCu2ehPbPaKk/KZushcxDkLYF0rbC8a2552lbIDvfLRIV6rt9P77XmkL5i/XfkYicXWpq3vCxZw/s3Qv79uUe9+37/hwRcJPRL774+61OnbyPa9eGckW/Ya5ChohPFFvIyDgICwfAkdWQ9C9o8dOi/0wRP7IWso7EBJBtuS39WziRb9fiYAUXNio1dbddVWrsNq+sGDkm1FYIEZFzsxaOHPl+8Ni7180d2b8/t8VuXhhlDDz2GPz970Va5tlChu6LEClrjn8L82+CE7vg2nHQ8BavKxIpuYxxK1Ql1IRaXb//fCgD0nfkDR/Hv3F9B5dC9rG81wcruOARDSCVGkPFRlCpoVvVrUJ9zQcREfd3T82arrVrd/ZrT5xwwSN/+Eg67Xf/YqOQIVKWHF0P82+EcBZcPwdqX+N1RSL+Fiwf2buj1emfz0pxgSN9+/ePR1a727TyMFC+jgsc0eBxqjWAivWhfF0FERHJVbFi7oaDJYhChkhZUr622zvgytfcPgIiUrTiq0J8B6je4fTP56RD+i43shjb0ne5vUH2zXTX5Ff+IjfqUaG+Cx55jvXc3JCEmm4Su4iIBxQyRMqSCnWh9wKvqxCRqLhKUPVS107HWnfLVfouOLkHTuzJd9wFh1ecZkQEMHFQ4WIXOCrUdS16fupYxwWWuJK1Yo2I+J9ChoiISEllDMRXd+1MoyEAoUy3D8iJPZCxD07ug5P7c8/Td8Lhz9yiD5xmwZe4yi5sRENH+TqQEPu4tpu0nlDbjZBoqWsROQf9LSEiIuJ3wQS3qlXlc9yTHc6BjAOR8LE/cv5dpEXOj2+DQ8vd6IgNn/594qtDQq1I6KgVE0JqQnxkonx8jdxJ8/HVIVD0y2mKSMmhkCEiIlJWBOLcnI2K9c59bTgEWYdd8Mg85EZBMg9B5sG8j09NYj8I4ewzv1+5xEgAqeGO8dUhvlruSM2plq8vLhECwUL7R1CaWWuJbk1wIccLfY/zfe58X3+uvgs5L6z3+yHPXejj6HmdOnVo2LAhXlHIEBER8Vj0i11sC4fDZ318rv6CPn/ua8HamlhbA2tbur6AxVaw2PL5rs3JwOYcx2anY3NOnDqScwIbOolNPYHNOYkNZUTaHmzONiwWaw0W18DkeWxNPDYQjw0kYAMJcOpxvHvOlINAOSzlsIE4rInDEgcmcm6CWALf+2d9un/257om9nFBnzvXeWE8L5Jfly5dFDJERMQfYr+MRr+QFub5D+27kOOZzgvaV5DnC/q4bKgQaY4xJm8juk+hxZhTUQND+HtHCLnHNgvDSUxknok59drc5j4r8n4mAIEAxgQwJogJBMAE3eNAkIAJYgJBCAQxJg4TiD6OwwTcY0wcJhgXeT4OYn6G2J/rdOcX0neuawvy3LmOF/La2OOFXlMYz/2Q5708L+zHseflimHH77NRyBARKYDol8FQKHTqC29JaGf60n6ma863P/bLcUlnjCEQCJzX8Xz6znZ+pr4f+rig1xTkufO5rjBb9M+o0FjrNkXMToHsNMhJhezYlpbvcSrkHHctOy33PCcNso9DOLOAnwuEgGBFCFZyK3QFK+Y7VjhNX/lIf0yLy/f41DXlc1sgAQLx2jFefEMhQ6SIGWP6AC8BQeBta+1zHpdUZKJfSKNfxC/0WNDzM335L2hfQfq9Fv1CGG35H5+pxV4XDAYpV67cWd+rIJ9T0OtPd34+z5+t73RHKWOMcV/S4yq4JXsvVDg7JoCk522h9O/3nXruJITcrWGETkDWMQjtzX0cPZ5t3kpBBMtDICZ8BBMiASQh9/ysx/hIizkPxufrLxc5P8cxcpvaqWbKaf6MnKKQIVKEjDFB4FXgBmA3sMoYM9la+6UX9aSkpLBmzRpCoVCeFv0yfba+2MenOy/u33LHfnE+3fmZHsfHx5/1mjO1gl53utcZYwr8+tNdG/sbYBEpYoFyuZPOi0I4FAkkGZHjybM8jrRwZt7HoQwI538+M3I86fZWOfU4M/f14Wx3bkNF87MBYGJCR1y+ABKX229izr/XH3sM5u3L8ziY+9gET98XbYFg3sfnbIF8xyCQvy/mSCBffyDmNYF815zmcZ5zUypGrBQyRIpWZ2CrtXYbgDHmY2AQ4EnIOH78OEuWLCEYDJ5q0S/C+Vvsb77z98W+Jn9fYR7PdK4v3SLiW4EgBCpDucre1RAOgc2GcBaEstwxnBl5nBl5LvL8GY/R8+yY6/M/zsk9tzn5+nJy+2yOexw+6c5tKLcv+vjUefRxduS66HMhTrsHjJ+dChwxIeTU43zH0/U1Gw4dnvasfIUMkaJVH9gV83g30CX2AmPMg8CDAI0aNSrSYurVq8dTTz1VpJ8hIiIlXCAIBN3tVqVp+xIbzg0eseHjh7RwCIi+T+z75evLc004X3/M67B5r+EM5/mvjZ4TdvOO8rzOnv6Yvy/xUg/+EHIpZIh4zFr7JvAmQFJSUpH+Gka//RcRkVLr1G/0S1Ny8q+A1wWIlHJ7gNhFqhtE+kRERERKLYUMkaK1CmhhjGlqjIkHhgGTPa5JREREpEjpdimRImStzTHGjABm4pawfddau9HjskRERESKlEKGSBGz1k4Dpnldh4iIiEhx0e1SIiIiIiJSqBQyRERERESkUClkiIiIiIhIoVLIEBERERGRQqWQISIiIiIihUohQ0RERERECpVChoiIiIiIFCqFDBERERERKVQKGSIiIiIiUqiMtdbrGkQkwhhzENhRDB9VCzjkwXX6bH12SXxPfbY+28/vqc/WZxfGteersbW29mmfsdaqqamVsQas9uI6fbY+uyS+pz5bn+3n99Rn67ML49qiaLpdSkRERERECpVChoiIiIiIFCqFDJGy6U2PrtNn67NL4nvqs/XZfn5PfbY+uzCuLXSa+C0iIiIiIoVKIxkiIiIiIlKoFDJERERERKRQKWSICMaYEv93gTHGFPC6Av8sP+A9z3pdQd8n32sKVGdp+rOJXFvQn/sH/zM913sV1p/3D3mvkuBc/8x/6D+fgrznD/UD/7stq/9NePZ3Rmn6+woK//8nBbku5r+zYv9ndD7/jRcGX/zLICKFzxhTwRjTDsBaG470fe8vIGNMM2NMrQK8303GmCb5+k77F5ox5pfGmB4FeM9njDFPRGo84wQyY0xDY0zPyHXhc7xnMFrnOd6znDGm+bmui32+AGEkzhjT7Fx1FvafTeTaAv35FPafTeTaAv35FPTP5jxULMh7GmNqFvC6YEHqM8a0MsZUKcB1/Y0xbfL1nem/nV8YY4YW4D0TjDEt4dz/TQDlI9ed899jY8xFBXzPAjHG1CnI+xljAub/t3fm8XpNVx//rntzc0MSIagYIkEiiSES0qCtIabXPLRCBUVQNc9zixJDKK1WTW+Nac1paFHzUKZIWMQAABoGSURBVGPN9KWKNqgaisZUNSTW+8daJ3ffk+e5z7mc597k3vX7fPbnOWef37PW3mftvc/a0zkig2pxRWThgg7f6lleCnB3EpExBXjHishensZaZWjBTGZbddzjF0l5bcgs1TYus6Z9itrGuaXap6htnFvIPvWwjWO+IjLrhEJtYOnozI90RIgQoXMCsDRwE3A78DywcHJNkuMBwIfA0cBawEJ5jp8PBB5K5VSS5+eDgOeAFdLrQGOOtyTwGvAgsKvHNVSQPwh4AHgEeBVYtEa+pwFXOP9gYKkK+R4M/MHv0ZPAnthXTfPy+gPbAksWuOdLAVNd7rPANzrCNu2xT9m2aY99itrGz/t4/ufIa443APg5cK7/Ll2FtwRwMfYmlrOBpuRaQ4W8/wPYskAdux1YoMK1huR4MPAosHzBMvQG8BtgiTbqxEDgRuD3wDVAz+RaY3K8BPBL4GTgd8D/tJHvgcC1wOVeJ8ZXkdkPGFsp3xXu4+XAlZ7Oldoov0t5Pq7B6kbvNvLzDjDR/9NYRffSwL3AghWu5cv6IOApYHiB/LyJ1e+1C9SJu4D7gceBvm3Ye4qX36eBCVXKUCHb1MM+RW1TD/sUtU177FO2bRLdv8LalpuAzavYsWi7Vojn3EJtYL1CzGQEAt0TJwMPq+qGWKM7TkROF5Ex6i2T419YQ7sasCMwXkRWBCaKSM+Edxpwhaq+66PrW4vIZSLy9Zw8gP2Ba1X1OREZCZwoIrcAe+RGriZjjfKRwHYiMlorjxb9GJiqqmMx52u8iEwTka0qcE8EHlTVCcBPgeOBUyrk+yTgAVXdDPghsCEwWUTWzsm7EjgE2E1ENhWRPtkFEWn032y06nSsc7EZcA6wS8JNp7LLtg0Ut0/ZtoHi9ilqG4DrsQ7JZiKyYHohGyX1e3kWMAu4GfgI2DSfOOdNxpyfK4BmYLiIfEdEBlXI1yLYqOBPReR2EVnV5ayS400CblfVD0RkgIisIiJ7i8jgnMxjgGmq+oLbZkcRuVJExs55KzkZc2xeA64UkSWr3PdTsLKxM/BPYA0ROUVEllfVWQnvJ8D7WOfqfuAGt00+jWDl9wVgb+BU4AgRuVlEhudkXoeVje1EZOW0LObqxBlYh+kE170ttB5pTerOqa57P2A6MEZEDhKRoTnds4B3gV0x228iIn1FZJPc6PkpwA2q+p6ILC0ia1e5PwBHYOX3eREZISIHiMiNFcrvacB5nv8TRGTZGnXiVlX9FubQbiQil4rI6jneqcCLqrqPy75URK7zdKayi9oGyrdPUdtA+fYpahsobp+ybQPWns0ALsE6Y+eKyJ0V0lC0XSvKg+JtYH3QkT2aCBEidH4AVsIc6Oz8ZWyE4wTMcT00x98BGy3fCHs4PQX8CVjErw8DPgG+7+dTsYfE2dhD6uCcvG2Bc/z4NuD72MjWVcBPPH4McF/ynxOA/wM29PNG/+2PNZ4b+flL2EPiSGw0/ORExkLY6O43krifYQ7W88B6HjcfNqq9Zy7d+2IP0Yl+Pgi4B/iu35+fA4cD30rStmByzx9KZH0NG73e2M8HYMtXS7VNe+1Tpm2Se17TPkVt4/ErAI9hDsZt2Ajd6kCf5L43YKO1jyX/G+c6h/h5P0Cc92DCewkbFT4L+AuwSYU6tBs2e7QP5mA9B/whuT4aeB34up9PwTpYlwDPJPejAfgRcKCf3wscizn/rwGHJzLXyZWNc4ELaJnBavDfJTGncAE//ytwEdaxfZ+W8ruE87L/NWPO6sWYIzYg0bUAcANeXpP444BXgE39fAg2u7WX2+4cYLvknme2GQ08mmuTngTG+vnCSbpG07ruTAcuxZzgj4BdcmnaBZgAbI+VvT8D9+R0zcBnooCrMSfxVx6/U07e3rSU07uBA4CjgIeBkzx+TeD+5D9nYbNYK1aoE4thzmt27UXgTKyj+zpwRNJG3EUy8ow5q5djHchsZqGQbephn/bapmz7FLFNe+yT3PNSbJPcq9kyk/hJ2AzvmHa2a4V4flyoDczbqMzQ6Q5PhAgROjZgU9Er+/HKwE+Ta2P8wZM+FBcEfo0t6xgCvIU5qqe7rH7AeP/f87R2QMd6fENO3hRsBuCKJL4v9rBcClgDWDWX7gMwxzg/Fb0bNgJ9JfBEEr8k5iwulMTt4w+McZjz/IDH7wT8wI8F+AbmEK5O6+n/NbEHlGDr2Id5fE9gS2x06yzsIfpyInMo9lDtkTwA9gKO8+N7PA2DgZG1bEPLMqaF27KNc/pjjsR5teyDOfu/qWGbbwKrFbGNX5uIOQpt2gfrxJ1RwDbL0tKhWRB7WN+NOeuLYM7Dt4H1gUOcl+XvfGBHP74MWM/D+h63PnBdrrwcmpxnzsg44MbETjOAv2GdzB5Y+T3H03Q1cEciY39ad+xGYZ2FdYHzk/gRHt/Tz3em9XKm5bDO33G5+92ALYE6E+ug/jm5th7WgREPFwNHJnm/w/9/PrnOFbC1y1ssFz8e+GFSHjNHtDfmBE7BZmBWxxzKXTHndI+cbY4HDvDjG4Ct/HgksIYfrwFclOjeDJiUS88wbJS3r9/DdzBn7gSsfC/ndjoN69Tdnfx3S+DECu3lJdhgwiVJ/ACs3ekHbAKslVzriZXl06q0wce4bS8Gnk7iV8I6hM1+fhLWWRiIlel7k/9vn9SJrbHyVtU2fr5oQfusBuzhsqvaByu7axaxTSJneA37DHX7TK5lH7fNpW3Zxs83L2ofrJN/YQHbTPI0t2kb/90bmFxB12HAPkl9LtKuFWr/kjpdsw2sVEbLCp3u8ESIEKHjQ9L49SJZcwp8B7irAn8cNqp9EbaspQ+wb3K9B7AM5mymo9HbpvKShm4LzOl9yh8oi2NLkh5vI61LYqPdD/vDJYsfgD1Mx7jM1Tx+I+BPOVmDMAfscmykPBst2xO4Jsc9BPitX1sJeyhvReIoV0jrQM/bXcAjNWwwGnuQbQHcUuH6/AVts15btkl4SwAHtmUfj9sQc4CK2CZzulvZJsdZwPM4ti37YA/IM7FOUy3b5NeFj8Ic4Jdo3ZFpzqVzB79H3yJxXhL+AHwfiJ/vhi3HqGS/vTwP2dKuIcDFyfX+WMfyKnx2y+Mn0roj0+BpehxzqjIncFOSUeKc7qwejcRnhPCRTI8fhnU0JwBnJPHjae20rYzt1XkS61zunJT9ydm99jQu6uXiXszZ6evXv0vrUeKm1D6elgM9f+noeJ9cnjZwG65H0inLtQEL0HqP0gR8Bimnc2usbP8CcwQH0NrhXQBr0ybTuj7smMoDevjxfphj/TDWYe9NlTqRyBqCzRRdi+9DSvKxHOZgZnnOOtqbYw53xhuB1as/YI7v9kl6Lkx09cM6GX9syzZV0lnNPj1zvKr2SdKQzqDOtk0F7jY17NMLq6OnV7NPrh4Wtk1yb+ewj8cP9PuxYSXbJLzlsM7SLW3ZJmlXbsI6cesn8bsAN7dhm2rtWqH2z6+1qw0sO8QXvwOBADB7Xeaj2BKNuz2uAVBshGkaNsq0tKrOrCKjJ7Zs93M/fwI4TFXvqsAdjTXc/TBn6QPgF6p6b5YerdBAich5wM9U9a8Vru2BOQ+vYw7gQVlecrxFVfVtP+6BLXnZ19PSB3hTVW8UkY2B73naBmMPsBOxEds+Hn898Dm0ejvPx5ijczf2MO2NLVW5QVU/c04T5iAOxUboFnPeB877NElvZpujMGe8N/Af1z2//w4hsY3Lz3TPwB7EjcAXOfsc6fnpDcxQ1d+6bbbAnLHMNudiD8v5sQ3n07K85G0D/B3rFPV1W9yqqjMr2OdQz09f4FVVvbWKbX6Addw2AWZiI5H3qeq/c/o/xjqC87lNmjAn699+fRlsg3NvrPPS23nNwB9TeV7278f25PwR2Nh19/a0NLt9F8E2YX/u6d3UeTOB+1y+qq8lF5GHsFHHXtha6ZkuZwxWtt7C9lGs5brvw0aFP/P/3KOqM5J0jsGWzB2IdVxnuX2eVNWPRGSK2+1C13uI359Zbu+HRGRxrMxn5fcFYD9VvY0cRGQHbDbmJU/7KKzNuNOvN6rqrGyddyLzP9jsxB3Z/dVkPbqvLX/A7+f2qnpPci0rt5rECeZYHpW0V02epqUxx3wxbHS/Wnu1IPBxUicfxWZ2KrVX62BO4Se0bLw9JUuniDRl9Sr5z8JYJ/RHqvpKlTScgnUm7sFmDw7It1kisoyqTk/y/SLmzM7CyuF0VX1WRHbE2rFWtnHZ62P15h2s3WkAZuXssw3WuWoC3sbaHFT1i5x9dnBOD+Df2GBBasvZtsHqznquewa2nDN7ucVs+7iNszS+rqpP+P37KGsL3T5Hexoz3pMish4249nKNljd2cDTOQPrUItlSTWxTzZI0At4SVX/4nk4OWebg/y+9QKeV9UXRWSIqr6Us80+WBuxlafzEVX9m4js7el/AutwbIvV2wU8jS+p6mMi0iMts0m71ova7d8W2EDAptRuAyem9aweiE5GINBNICJnYw+kozMnJXPkRWR+zCke5ZxWvETGCG+Ae2GjgNV4TZhTtqaqHlNJd8IdgDnMfTGHt1oam9yRWwZr7KvJ2wNbD/y2qt5ZI9/N2IjURthSoOUxB7kncLmqPuz8VbBOQk9s1iDjNWLLih5yXiPmhE9Q1QtE5CfVuM7fH1jR01tN5nzYw38Vv1aNN1xtA2QvVf0kp7sJ+HXC7YE57Gv4vamW78WAj7EH96Ft6O7hjsJgVX25hu7d3d7/wh6EGa8ZuCzR3RN78G+oqme7HZfDNo6+69euV9WLnT/S71P/GrzrsI7z6zV4xwBDVXW3KrovxvY7iNpG+WxPQ8Z7D5vdu05VL0/sPdLvacZ7H+vAXugd23WwTp2q6lO18u1y18Y6dXndU1T1WhE5ze3wmNs8432Aze5NVdXLXNaWwOqqeqyInIq9aeswchCRTTBHVDFnqRUv6Ww0YHVrO6wzW5Hnx2dgTuf3KulOZPbCZoRW9DzMkUYRWQBYRlWfdv7xFeRl7UAjNvI+RlUPrJHvUZhj3expqJbG7He0O8JtyfwhVib+5vbJy2xwR78ntqxpHWypzHDgC2z/zmmq+qrzN8Y6E6qqj3t9zLgvY/urMm5qnwHVeKl9sLpbTV4zsDu2B2HfarrdPoNV9Rm3z6SE9ypwei6NO2Id8c8T3j+wGbeMN9s23gFoM99+T0dhHZRqMo8F/uu2WauNe57ZZm1VPVlEzsTq2RdYZ2i/5D5+B+sQfYQNMGW8V1T1YBHpo6ofObdouzYS2EZVf1ygrbzOy8Z46g2t81RJhAgROj9gTsw72HrNZ/F1oBV4Q9vi0TL12qY8WgYwmgpwmwrK7NmevBSU2Zjk+y9+3EDLprqFK9yfPO9WWtb+NraDm43GrdIWL4lfoQov24Dfo6juhFdNZv8srsR892/PvcxxBwB/T+7bQKxTfAk2MtiMlbWlavDEZa1QgNcfG2GspHsbbD3z0bTUiWq8TGYjNiM4pApvCnNu7K+V7/lr6J6Czebh+mulsQfWSe7l6ZyBjUi/AexepY61yaOl3tbiNbjufkV0u71XqiGzuaBu8bzPVySdBWU2F71H7biXWXs1HHjOj3ths4dXZ+Uh95/lK3CvTOwiRXge3wdYtQCv2W1ZSeZVtJTbhjZ0X5WT2RNb3ldVXjvzXUv3fAXktUpjUs+GYTOJWdxdWF08G1seNp/HV+Jdji0bPRXbYF6kXcvavyZqtxlZG7hI/p7VI3SKwxMhQoSODdiG5d39eBz2hpEHaHm70SkeX4t3Ejb9XIt3MjCuoO5J2PrXsngn07Ixrgh3fWyz489y9+x6WvYPHIrtKSjE8+Na3MOxmaNavMOwB3st3iG0vM2oTJlF8n1IO/J9WDvuZfbmlUbs7TIbJtxe2KjvddjIey3eVHx9dwF52WZWaYO7pnPHtlNmW7zfZnkpKLOI7mm0bJyuJW+NJH5TfIM6Nuv1ArZP55sed6DbsQhvTAHewbS89KAId1QB3gHA1wvwDgJGl5zvA2i9v6aW/iIyD8I2ZR9AUnfchnfi31rB9hKNSNJRizusAG8PWvbdtcXbHViuoO5dC+reHRuZL5KX4e3I9/ACvInt4A1N2vbsTVTjsNmR0djz6ypggwK8KxJeofavnW1gXd8qNVt3RyiJECFC5wds42b6lqd9sXWhD2CvHmyoB28e0j0Idyr9/CRsbe1gbJlJu3j1kNlddfu1nbFXyp5I61meI4Cz6sXr5roXp/Us1RHYnpFHsOUnDfXgdTXdZcvE6syyfj2rO+di6/aXwzZxZzMUhbhl87qz7hxnLVq/gvtQWtfHorzS24yOCJ3u+ESIEKFjA8nXjP38M/ytMvXkza26mfOVuFmjvy62ZOo+bPN3IZ7HlSqzu+quYMOVsLeD3YE9MAdinZFd68nrbrphjrfX5OvOTKzulMrraro7KD/ZG7C+i70h7Hb8+xRFuWXzurnual95zzqRN2J7QArx2lNvvyy3nqHDFEWIEGHuC9gyhus7mjcP6X6G5ENtX5VXD5ndTTe24XVt7A0pl5L7TkK9eN1Zd+5/62BvC+tQXlfTXbZM7MUZr2FvSaslrxC3bF53082cnZODqPwa8kI8v1Z6m1HP0KHKIkSI0LGB1lPH2ejLWFo+hPU1bDlRqbwuoHtPP94YW9NdiFdD95eS2V1152Q2JNyVadlz06sevNA92z7ZDNNIYGs/HoxtRC2V19V0d3B+tvHjiVSuj1W5ZfNCd2U7YpuzN8PqXVFeumyuVr0tzO3I0OlOUIQIEeoXsLelNObi7gS2qCevC+je8svw6iGzu+r2+IUrcO8GNvVjqQcvdFfkblTQNl+K19V0d3B+Nm6H7o3ryQvd5dibZLkcrd8cWKl+F+Z2dOhBIBDochCRYdibK2YCb4rIear6ltiHu15X1d/Xg9eFdP+uPbx6yOyuup27AvbhuBnYcoRTPH4k8Kmq3uzUESJSGk9VNXRX5d5W0Dbt4tVDZmfq7qT83NIO3bfUgxe6S7X3isDDInK4qp6vLR9YHcOc9bYwl05AfIwvEOiCEJHbsFGM6diazCdV9X/9WrOqfir2Qbaby+SpfZAtdIfuryrzJuxLwS9hX4U/D/sI2J9V9WX/TyO21rg0ntrH00J36J6rZIbubqd7beAibHkj2DLfO8Q+RPtPVf0s0T2uKJfOgHbC9EmECBHqF7D1nA8k5+tgb5gY4OcDsA8llcoL3aG7RJl3JNyXgWuxb5rcBqxVD17oDt1zo8zQ3b10J9cnYK/G3Qb4Jzb7cWPK+TLcjg5ZzycQCHQdvAtcAyAiTap6L/Ah9h5usK+JDq8DL3SH7rJk/si52wF/UtXxwGnYxxRXrRMvdIfuuVFm6O5eujO8AZyjqtOwD/XNBNYSkYt9tuPLcjsU0ckIBLoQRGQI9v2He0VkBVX93C/dAiwrIt8GFgI+KJOnqk+E7tBdkswvgA/E1hpfC+wIoKofAu8BK5fNg9l1J3SH7rlGZujudrqXF5H1RWQE8Ffg9yKyETAJOBZrT99UWyZVmEsnIvZkBAJdBCKyJDANc+peAT7FNpddhjVwN2Jv9tkXmFwibzzWSIbu0F2GzPec8xm2dnmqqk4XkUWxjslR2BKDsngTgXdCd+iey2SG7u6n+ySsrXwdeB97C9W6wLuqugoOf9ZPLcLtbEQnIxDoIhCRs4GPVfVosTf5DANWB3oCv8C+TPo68GaZPFXdPnSH7jrK7OHcfYD+WEelNJ6q/iB0h+65TWbo7va6Rzi3J/A7VX1aRHqp6icVdFfl0tnQuWBjSIQIEb56AHYCzsvFjQQuBI7y8+ayeaE7dHeAzOMAAZrK5oXu0D03ygzdoRvbp3EBcGouvjC3s0OnJyBChAjlBGw05CZvaMYm8f2Au2j5Cm2pvNAdujtA5h3AwHrwQnfonhtlhu7QnfBuAQYX1N2K29khlksFAl0IIrI4sDOwPLZU5WpgWWCyqg6vFy90h+65UWboDt0dpbur5Sd0dw3dnY7O7uVEiBCh3IB9l2Ac8GPgRWxadoN680J36J4bZYbu0B3lN3R3Z92dGWImIxDowhCRBqBRW14b2iG80B2650aZoTt0z8syQ3foLoPbkYhORiAQCAQCgUAgECgV8TG+QCAQCAQCgUAgUCqikxEIBAKBQCAQCARKRXQyAoFAIBAIBAKBQKmITkYgEAgEAoFAIBAoFdHJCAQCgUBgHoSIzBKRp0TkWRF5WkQO9bfMtPWfwSIyoaPSGAgEui+ikxEIBAKBwLyJ/6rqKFVdEdgQ2AQ4vsZ/BgPRyQgEAnVHvMI2EAgEAoF5ECLykar2Sc6XBR4FFgEGAVOA3n55P1V9UEQeBkYA04HLgJ8DpwHrAs3AL1X1gg7LRCAQ6LKITkYgEAgEAvMg8p0Mj3sPGAZ8CHyhqp+IyFDgSlUdIyLrAoep6ubO/z7wNVWdJCLNwAPAeFWd3qGZCQQCXQ49OjsBgUAgEAgESkcTcI6IjAJmActX4W0EjBSRbf28HzAUm+kIBAKBL43oZAQCgUAg0AXgy6VmAf/C9ma8BayC7b/8pNrfgP1V9dYOSWQgEOg2iI3fgUAgEAjM4xCRRYHzgXPU1kH3A95Q1S+AnYFGp34I9E3+eiuwt4g0uZzlRaQ3gUAg8BURMxmBQCAQCMybmE9EnsKWRs3ENnqf5dfOBaaKyPeAW4D/ePwzwCwReRq4FDgbe+PUEyIiwNvA1h2VgUAg0HURG78DgUAgEAgEAoFAqYjlUoFAIBAIBAKBQKBURCcjEAgEAoFAIBAIlIroZAQCgUAgEAgEAoFSEZ2MQCAQCAQCgUAgUCqikxEIBAKBQCAQCARKRXQyAoFAIBAIBAKBQKmITkYgEAgEAoFAIBAoFdHJCAQCgUAgEAgEAqXi/wHJg+Ui7cIDwwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The MAMPE is: \n",
      "0.06869867589290275\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "NotHubei = get_China_exclude_province(China_df, \"Hubei Province\")\n",
    "\n",
    "NotHubei[\"E\"] = NotHubei[\"E\"] * 1/4 # suppose the number of exposed cases outside Hubei\n",
    "\n",
    "Dynamic_SEIR2 = Train_Dynamic_SEIR(epoch = 10000, data = NotHubei, \n",
    "                 population = China_population-Hubei_population, rateAl = 1/7, rateIR=1/14)\n",
    "\n",
    "estimation_df = Dynamic_SEIR2.train() \n",
    "est_beta = Dynamic_SEIR2.rateSI\n",
    "est_alpha = Dynamic_SEIR2.alpha\n",
    "est_b = Dynamic_SEIR1.b\n",
    "est_c = Dynamic_SEIR1.c\n",
    "population = Dynamic_SEIR2.numIndividuals\n",
    "\n",
    "# Draw fitted result\n",
    "Dynamic_SEIR2.plot_fitted_beta_R0(NotHubei)\n",
    "Dynamic_SEIR2.plot_fitted_result(NotHubei)\n",
    "\n",
    "## use the last observation as the initial point in the new SEIR model\n",
    "I0 = list(NotHubei['I'])[-1]\n",
    "R0 = list(NotHubei['R'])[-1]\n",
    "E0 = list(NotHubei['E'])[-1] * 1/4 # suppose the number of exposed cases outside Hubei\n",
    "S0 = population - I0 - E0 - R0\n",
    "\n",
    "seir_new2 = dynamic_SEIR(eons=50, Susceptible=S0, Exposed = E0, \n",
    "                    Infected=I0, Resistant=R0, rateIR=1/14, \n",
    "                    rateAl = 1/7, alpha = est_alpha, c = est_c, b = est_b)\n",
    "\n",
    "result= seir_new2.run(death_rate = 0.02) # assume death rate is 2%\n",
    "seir_new2.plot_noSuscep('Dynamic SEIR for China Ex-Hubei', 'population', 'Date', starting_point = China_total['date'].max())\n",
    "\n",
    "\"\"\"\n",
    "Calculate MAPE test score using SEIR model result\n",
    "\"\"\"\n",
    "China_df_test = SIR_data[SIR_data['date'] >= datetime.datetime(2020, 2, 14)] \n",
    "test = get_China_exclude_province(China_df_test, \"Hubei Province\")\n",
    "\n",
    "plot_test_data_with_MAPE(test, result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Estimate Hubei \n",
    "Currently cannot be done, since the data source I use has no exposed number for Hubei province. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The loss in is 444758.4949167168\n",
      "The MAPE in the whole period is 0.09132194517229873\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum infected case:  52062\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The MAMPE is: \n",
      "0.03954367919901572\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## data process\n",
    "Hubei = get_province_df(China_df, \"Hubei Province\")\n",
    "del Hubei['E']\n",
    "Hubei  = pd.merge(Hubei, NotHubei[['date','E']], on='date')\n",
    "Hubei[\"E\"] = NotHubei[\"E\"] * 3/4 # suppose the number of exposed cases inside Hubei\n",
    "\n",
    "## model\n",
    "Dynamic_SEIR2 = Train_Dynamic_SEIR(epoch = 10000, data = Hubei, \n",
    "                 population = Hubei_population, rateAl = 1/7, rateIR=1/14)\n",
    "\n",
    "estimation_df = Dynamic_SEIR2.train() \n",
    "est_beta = Dynamic_SEIR2.rateSI\n",
    "est_alpha = Dynamic_SEIR2.alpha\n",
    "est_b = Dynamic_SEIR1.b\n",
    "est_c = Dynamic_SEIR1.c\n",
    "population = Dynamic_SEIR2.numIndividuals\n",
    "\n",
    "# Draw fitted result\n",
    "Dynamic_SEIR2.plot_fitted_beta_R0(Hubei)\n",
    "Dynamic_SEIR2.plot_fitted_result(Hubei)\n",
    "\n",
    "## use the last observation as the initial point in the new SEIR model\n",
    "I0 = list(Hubei['I'])[-1]\n",
    "R0 = list(Hubei['R'])[-1]\n",
    "E0 = list(NotHubei['E'])[-1] * (4-1/4) # suppose the number of exposed cases inside Hubei\n",
    "S0 = population - I0 - E0 - R0\n",
    "\n",
    "seir_new2 = dynamic_SEIR(eons=50, Susceptible=S0, Exposed = E0, \n",
    "                    Infected=I0, Resistant=R0, rateIR=1/14, \n",
    "                    rateAl = 1/7, alpha = est_alpha, c = est_c, b = est_b)\n",
    "\n",
    "result= seir_new2.run(death_rate = 0.02) # assume death rate is 2%\n",
    "seir_new2.plot_noSuscep('Dynamic SEIR for China Ex-Hubei', 'population', 'Date', starting_point = China_total['date'].max())\n",
    "\n",
    "\"\"\"\n",
    "Calculate MAPE test score using SEIR model result\n",
    "\"\"\"\n",
    "China_df_test = SIR_data[SIR_data['date'] >= datetime.datetime(2020, 2, 14)] \n",
    "test = get_province_df(China_df_test, \"Hubei Province\")\n",
    "\n",
    "plot_test_data_with_MAPE(test, result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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